Find the volume of a cone with a base area of 36π cm. and a height of 2 cm less than the radius. Give your answer in terms of π

Q: The volume of a frustum of a regular triangle pyramid is 135 cu. m. The lower base is an equilateral…

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Q: 2. Imagine a very huge industrial metallic bucket is in the shape of the frustum of a right circular…

A: Given is a frustum of radius 5m and 2m  and height 4m .

Q: 4. Find the volume of a three-sided pyramid with height h and base an equilateral triangle with side…

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Q: re 9. The volume of a sphere is 2887gin. What is the surface area of the same sphere?

A: the solution is given below

Q: Two cubes whose edges measure 3 cm, 4 cm and 5 cm respectively to form a sing le cube.Find its…

A: As three side lengths are given some there are three cubes form a single cube.  Here, simply equate…

Q: Given a cylinder with a base area of 144π in² and the height that is twice the radius. Find the…

A: The lateral surface of an object is the area of all the faces of the object, excluding the area of…

Q: Find the radius of a sphere if its surface area is 324n O.001 10

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Q: 6. Find the volume and surface area of a hemisphere with a radius of 9 in terms of T.

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Q: 8. Two similar cones have a combined volume of 400 in, and the larger cone holds 80 in.° more than…

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Q: 13. Find the total surface area of the pyramid. A. 84 in B. 90 in C. 100 in 4 in., 6 in n. 6 in. D.…

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Q: 6. The volume of a cylinder is 240r in?. If the radius is 4 in, find the height.

A: We have to find the height of cylinder with given volume and radius.

Q: 20.) If the radius and height of a cylinder are both doubled, then the surface area is.. a. the same…

A: Let r be the radius and h be the height of the cylinder then surface area of the cylinder is given…

Q: Given the Rectangular Pyramid below, if s = 18, I = 19, and w = 8, what is the volume of the…

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Q: 10. A cone has a radius of xcm and a slant height of 2xcm. In terms of x, what is: a) its vertical…

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Q: 3. Find the radius, height, and volume of the right cylinder formed by the net (flat pattern) below.…

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Q: Suppose that the base of the square pyramid below has an area of 12 cm2 and that the altitude of the…

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Q: A regular square pyramid has an altitude of 12m and a volume of 196m^3. Determine the slant height…

A: Follow the procedure given below.

Q: A prism with a height of 5 cm is inscribed in a cylinder. If the base of the prism is in the form a…

A: The volume of a cylinder is given as follows: Volume of cylinder=πr2h

Q: A light bulb is placed at a certain distance from the surface of a spherical globe of radius 20 cm.…

A: Torch light illuminates one third of the total area of the surface of globe. Radius of globe=20 cm…

Q: 9. A margarine tub has the shape of the frustrum of a cone. With the lower base having diameter…

A: Given, The upper base diameter of the frustum of a cone is, Du=14 cm. The lower base diameter of the…

Q: 2. A regular pyramid has height of 18 ft and a total surface area of 648 ft?. A similar pyramid has…

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Q: 2. If a cylinder is known to have a volume 25% greater than that of a sphere with an area of ​​576π…

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Q: 1. Imagine the plumb bob as a perfect cone, compute for the volume of steel needed to make the cone…

A: use the formula for volume of cone .

Q: Find the volume of a spherical wedge of radius 1 cm and central angle 2o  The volume of the sphere…

A: The formula for the volume of the spherical is 23R3θ.  where R is radius and θ is the angle…

Q: 2) Find the radius of a cylinder with a volume of 339.1 in' and a height of 12 in.

A: Volume of cylinder is πr2h. Use this formula to find the value of radius of cylinder.

Q: A margarine tub has the shape of the frustrum of a cone. With the lower base having diameter length…

A: Volume of frustrum of the cone is, V=13πR2H-r2h       ...(1)

Q: Suppose that a copper sphere of radius 3 cm is beaten and drawn into a wire of diameter 0.2 cm. What…

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Q: the

A: Explanation : The frustums of the triangular pyramid is drawn by,

Q: Find the surface area of a cube, given that given that its volume is 343cm3

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Q: Find the exact volume of a sphere whose diameter is 6 ft. The length of a side of the base of a…

A: Topic:- volume

Q: 4. Find the length of one side of the base of a square pyramid if the height is 12m and the volume…

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Q: 4. What is the radius of a sphere that has a surface area of 2903.33 in2? O13.5 in O 15.2 in O 8.6…

A: As we know that, Surface area of sphere = 4*π*r^2

Q: 2) Find the radius of a cylinder with a volume of 339.1 in and a height of 12 in. 3) Find the radius…

A: (2) Volume of cylinder is given by               v = πr2h  Where r = radius of cylinder…

Q: A circular cylinder with a volume of 6.54 cu.m is circumscribed about a right prism whose base is an…

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Q: A sphere is inscribed in a right circular cone whose slant height has a length equal to the diameter…

A: Given:

Q: What is the volume of a regular hexagonal pyramid with base side length of 6 cm, apothem of 5.2 cm,…

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Q: 3. Find the radius, height and EXACT volume of the right cylinder formed by the net (flat pattern)…

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Q: . Find the volume of a regular pyramid shown in the figure given a circumscribing circle radius =…

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Q: 7. Find the radius of a cylinder with a volume of 108n ft3 and a height of 12 ft.

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Q: Given a sphere with a diameter of 64 ft. Find the surface area, volume, surface area of its…

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Q: 7. Find the surface area of the polygonal pyramid O 24.75 O 117.5 O 90 O 46.78 yd 2.75 yd

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Q: 12) If the volume of a cube is 64cm³, find the surface area of the largest sphere that can fit…

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Q: A regular square pyramid has lateral area of 60m^2 and base edge of 6m. What is its volume?

A: Given that, A regular square pyramid has lateral area of 60 m2 and base edge of 6 m. We have to find…

Q: 2. Find the surface area of a cylinder that has a height of 65 feet and a radius of 26 feet. O…

A: To find the surface area of a cylinder :- Given :- height = 65 ft.               radius = 26 ft.

Q: A sphere is inscribed in a right circular cone whose slant height has alength equal to the diameter…

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Q: 2. Find the surface area of a cylinder that has a height of 65 feet and a radius of 26 feet. O…

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Q: 3. Find the volume of a cylinder with a diameter of 90cm, and height of 1m. 4. Find the depth of a…

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Q: 1. Find the volume of a regular octahedron if one edge is measured as 10 cm.

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Q: #8, p39: The area of an isosceles trapezoid is 246 m?. If the height and the length of one of its…

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Cylinders

A cylinder is a three-dimensional solid shape with two parallel and congruent circular bases, joined by a curved surface at a fixed distance. A cylinder has an infinite curvilinear surface.

Cones

A cone is a three-dimensional solid shape having a flat base and a pointed edge at the top. The flat base of the cone tapers smoothly to form the pointed edge known as the apex. The flat base of the cone can either be circular or elliptical. A cone is drawn by joining the apex to all points on the base, using segments, lines, or half-lines, provided that the apex and the base both are in different planes.