If a right circular cone has an area of base equal to 50 π sq. units. And volume of 500 π cu. units, find the radius of the base , the altitude, and the slant height of the cone.

Q: Find the radius of a cone with a volume of 135 ft^3 and a height of 6 feet .

A: Volume of cone can be used to find out the radius of the cone

Q: If the volume of the square pyramid below is 384 and the sides (x) of the square base are each 14,…

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Q: If the exact volume of a right circular cylinder is 2007 cm and its altitude measures 8 cm, what is…

A: The volume of a circular cylinder with radius r and height h is given by V=πr2h. The height of the…

Q: An observatory has the shape of a right circular cylinder surmounted by a hemisphere. If the radius…

A: Given: The radius of cylinder is 14 ft. and its altitude measures 30 ft. To find: The surface area…

Q: a sphere inscirbed in a right circular cone whose slant height has a length equal to the diameter of…

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Q: Find the volume of the square right pyramid below with a base edge of 40 feet and a slant height of…

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Q: Suppose you have a rectangular pyramid with a base length of 4.5 in, a width of 7 in, and a pyramid…

A: To find: The changes in the volume after changing base length and width. Given: The rectangular…

Q: For a right circular cone, the slant height has a measure equal to twice that of the radius length…

A: Given a right circular cone. Whose total area is 48π in2. Slant height=Twice of radius. Let, For…

Q: A box with a square base has length plus girth of 108 in. (Girth is the distance "around" the box.)…

A: Consider the diagram, Observe that the box with a square base has length plus girth of 108 in. Here…

Q: Given the volume of a cylinder is 1,215Tt cubic inches and the radius is 9 in, find the length of…

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Q: Find the surface area and volume of a square pyramid with side lengths of 24 in. and slant height of…

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Q: If the length of the radius and the height of a right circular cylinder are both tripled to form a…

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Q: Given a square pyramid with the base edge of 10 m. and slant height of 6 m. Find the measure of the…

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Q: The volume of a cylinder is 27 in^3. If the radius is doubled but the height remains the same, what…

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Q: If the radius of a circle is 9 in., find the radius of a circle whose area is 6 times as large.

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Q: For a right circular cone, the slant height has a measure equal to twice that of the radius length…

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Q: A right cone has a base diameter of 8 in. and a volume of 259 cubic inches. Determine the slant…

A: Given the diameter and volume of a right cone. We need to find the slant height.

Q: .Into a circle of radius 82 inches is an inscribed square, to that square is an  inscribed circle,…

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Q: 6) Find the slant height and surface area of a right circular cone with a volume of 225T cubic…

A: We have to find the slant height surface area of cone. And also the volume of sphere.

Q: Find the approximate surface area and volume of the sphere if OP = 6 in. Use your calculator.

A: Given: The radius of a sphere is, r=6 in. The surface area of a sphere can be calculated as,…

Q: The length of the latus rectum is called __________ the diameter.

A: The line segment that passes through the focus and is parallel to the directrix is called the latus…

Q: . The angles of an oblique parallelepiped are equal to the corresponding angles of another…

A: Angle of Parallelepiped 1 = Angle of Parallelepiped 2Side of  Parallelepiped 1 =3 side of…

Q: The volume of a cone shaped object is approximately 277 ft3. If the height of this cone is 9 ft,…

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Q: Find the surface area of a square pyramid with side length 5 in and slant height 5 in. 5 ih 5 in 5…

A: Given data is: Side length a=5 in Slant height l=5 in To find the surface area of square pyramid.

Q: What is the ratio of the volume of a cone to the volume of a cylinder, if both have a radius of 8…

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Q: Find the area of the largest trapezoid that can be enclosed in a semicircle of radius 12 cm if the…

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Q: Find that length of canvas % meters wide is required to make a conical tent 8 meters in diameter and…

A: Canvas will be on the curved surface area of the tent.   The curved surface area of the conical tent…

Q: IF the height of a cone is 12 cm and the radius of the base is 9 cm, fone the volume of the cone in…

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Q: If a parabolic reflector of an automobile head light is 12 in. in diameter and 4 in. deep, what is…

A: To determine the area of the reflector of the headlight, lets consider the vertical cross section of…

Q: THe radius of a conical tent is 7 m and its height is 10 m .Calculate the length of canvas used in…

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Q: If the height of a cone is 15 cm and its volume is 770 cu.cm; find the radius of its base

A: Consider that the volume of cone of height 15 cm is 770 cm3.  Find the radius of its base.   Volume…

Q: If the side measure of a regular hexagon is 5cm and the area is 94.66 cm ^ 2 what is the length of…

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Q: Find the volume of a rectangular pyramid with a length of 8 ft, a width of 5 ft, and a helght of 15…

A: A rectangular pyramid has length 8 ft, width 5 ft and height 15 ft.

Q: In a two-pulley system, the centers of the pulleys are 20 in. apart. If the radius of each pulley…

A: Given that the centers of the pulleys are 20 inch apart.Also, given that the radius of each pulley…

Q: If the exact volume of a right circular cylinder is 200 cm³ and its altitude measures 8 cm, what is…

A: Volume of the right circular cylinder is πr2h, where r-radius and h-height

Q: Given a square pyramid with a height of 24 ft and a volume of 4,512 cubic feet, find the length of…

A: Volume of square pyramid = 13a2h, where a = side length of square base h = height of the pyramid…

Q: Find the length of the radius in a regular decagon for which each apothem has a length of 12.5 cm.

A: Given that, the length of apothem in a regular decagon is 12.5 cm. Now, since the regular decagon…

Q: A cube has a volume of 512 in3. Wht is the length of each side of the cube?

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Q: 24.) To the nearest whole number, what is the surface area of a square pyramid with each side of the…

A: The base is a square with sides 30 yards  So area of the base= 30*30 = 900 square yards

Q: If there are 1; cu. ft. in a bushel, what is the capacity (in bushels) of a hopper in the shape of…

A: Given query is to find the capacity of hopper .

Q: The volume of a cone shaped object is approximately 277 ft3 If the height of this cone is 9 ft, what…

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Q: Find the surface area of a square pyramid with side length 2 in and slant height 5 in. 5 in 2 in 2…

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Q: what would the volume of a sphere with a radius of 12 feet be

A: Volume of sphere having radius 'r' is given as; V=(4/3)πr3.

Q: For a right circular cone, the slant height has a measure equal to twice that of the radius length…

A: Consider the radius of a right circular cone = r So slant height l=2r Given that total area of the…

Q: If the volume of the cylinder is 90cm3, what is the volume of the cone?   b.) If the volume of the…

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Q: If the volume of the square pyramid below is 990 and the sides (x) of the square base are each 16,…

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Q: If a cylindrical water tank holds 1,000 ft of water and has a height of 10 feet, what is the…

A: Explanation of the answer is as follows

Q: If the volume of a sphere is 36TT, what is the radius of the sphere?

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Q: The volume of a right circular cone is 967 in'. If the radius of the base measures 6 in., find the…

A: Since, we have been given that the volume of a right circular cone is 96π inch3.Also, we have been…