A triangle has sides that measure 15 cm, 20 cm, and 25 cm. Find the exact volume of the solid of revolution formed when the triangle is revolved about the side of length 15 cm.

Q: A regular pyramid has a square base of 10cm x 10cm and an altitude of 60cm. Find the volume of the…

A: WNow, we have to find the volume of the upper portion of the regular pyramid which height is half of…

Q: The volume of a hemisphere is 2425 (1/2) cm3 Find its curved surface area ?

A:

Q: Find the volume of a spherical cone whose base segment has an altitude of 6 cm and the radius of the…

A: Given.

Q: A pyramid at a museum has a height of 21 meters and a square base with side lengths of 30 meters.…

A: the volume of a square-based pyramid, use the formula V = A(h/3), where V is the volume and A is the…

Q: A right triangle ABC with sides 5 cm, 12 cm and 13 cm is revolved about the side 12 cm. Find the…

A: Given, A right triangle ABC with sides 5 cm, 12 cm, and 13 cm is revolved about theside 12 cm.

Q: The diameter of a cylindrical construction pipe is 4 ft. If the pipe is 23ft long, what is its…

A: Radius of pipe = diameter/2

Q: Find the volume of the given pyramid, which has a square base of area 9 and height 5. →y 3

A: Given the height of the pyramid (h)=5 unit And the base of area of the pyramid (B)=9 unit square To…

Q: A cone-shaped pile of sawdust has a base diameter of 24 feet, and is 7 feet tall. Find the volume of…

A:

Q: A pyramid at a museum has a height of 21 meters and square base with side lengths of 30 meters.…

A:

Q: A cone was formed by rolling a thin sheet of metal in the form of a sector of a circle 72 cm in…

A: The volume of the cone can be obtained using the formula V=13πr2h. Here, r is the radius of the base…

Q: What is the volume of an oblique pentagonal prism whose base area is 120 cm2 and whose height is 15…

A: We know that Volume = Base X Height

Q: In a right circular cone, the radius of the base is 4in and an element is 12in. Find the lateral…

A: Find your answer below

Q: The sides of the base of a regular octagonal pyramid is 8 cm. The angle between the lateral edges…

A:

Q: A cylindricall soup can has a diameter of 2.6 in. and is 5.7 in. tall. Find the volume of the can.…

A: topic - volume of cylinder

Q: Find the mid-section area of the prismatoid if its volume is 1200 cm3 the height is 18cm, the lower…

A: The volumeV=h6·U+4M+L of the prismatoid is

Q: In a frustum of a cone of revolution the radius of the lower base is 11in., the radius of the upper…

A:

Q: A cone-shaped pile of sawdust has a base diameter of 34 feet, and is 15 feet tall. Find the volume…

A:

Q: Suppose the volume of a given sphere is 24429cm³. Find the size of area of the spherical triangle…

A: There appears to be two questions. The first question carries a figure and some information, but no…

Q: Find the volume of a pyramid whose base is a square with side L and whose height is H

A: Pyramid: base is a square with side L. base area = L x L = L2 height = H…

Q: Sketch a cone with radius 5 feet and height 8 feet, then find the volume. If needed, round to the…

A: sketching a cone with a radius and a height where a radius r = 5 feet and height h = 8 feet.

Q: Find the volume of a hexagonal prism with height 13.0 inches and side 10 inches. Hint: You need to…

A:

Q: A cone-shaped pile of sawdust has a base diameter of 30 feet, and is 13 feet tall. Find the volume…

A: Given that base diameter of 30 feetand the height is 13 feetAs we know that volume of cone is 13πr2h

Q: A rectangular solid whose dimensions are 4cm, 8cm, and 12cm is inscribed in a sphere. What is the…

A:

Q: A trapezoid has bases measuring 1.3 meters and 2.1 meters with a height of 1.1 meters. What is the…

A: According to the question, we have given that the lengths of the bases are 1.3 m and 2.1 m. So we…

Q: Find the volume of a pyramid with an equilateral triangle base of length 2 on each side, and height…

A:

Q: The radii of parallel circular sections of a sphere are 4 in and 4.8 in, while the radius of the…

A: Here we are given ,    r1 = 4    , r2=4.8   and R =5To find h:  O: Centre of sphere⊙ AO  = OD =…

Q: Sketch a cone with radius 10 feet and height 9 feet, then find the volume. If needed, round to the…

A: Given, A cone with a radius of 10 feet and height 9 feet

Q: The figure below shows a cylinder with two hallow congruent cones removed. If it is 20 inches tall,…

A: To find the volume and surface area of the figure remained Height=20 inches and diameter=14 inches

Q: The volume of a circular cylinder is 1280A m³, and its height is 5 m. What is the radius of its…

A:

Q: Find the total surface area and the volume of a spherical sector if the radius of the sphere is…

A:

Q: Find the surface area of a sphere, given that its volume is 970cm3

A:

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

A: Given: A sphere is inscribed in a cone whose slant height equal to diameter =12 cm

Q: Find the volume of the solid of revolution that results when a right triangle with legs of lengths 5…

A: According to the question, Rotate the right triangle about its 7 inches side, and then it’s a right…

Q: A cone has a height of 30 m and a volume of 990 m3 . What is the radius of the base?

A:

Q: Find the mid-section area of the prismatoid if its volume is 1200 cm2 the height is 18cm2 , the…

A: Volume of prismatoid is given by  V=16hA1+M+A2 where h denotes the height of prismatoid, A1 is the…

Q: A grain silo consists of a cylindrical main section and a hemispherical roof. If the total volume of…

A:

Q: What is the surface area of the regular pyramid? What is the surface area of a square pyramid with a…

A:

Q: The lateral edge of a square prism is 20cm long and it is inclined at an angle of 60 degrees with…

A:

Q: The radius of a cylindrical construction pipe is 2 ft, if the pipe is 21 ft long,what is the volume

A: Given that the radius of the cylindrical pipe is 2ft and its height is 21 ft. The volume of the…

Q: A powdered drink mix container is in the shape of a right circular cylinder. The dimensions of the…

A: The container is in the form of a cylinder Here diameter is 6 in , Radius is diameter divide by 2…

Q: A hole in the ground has a 3 ft. by 5 ft. rectangular opening, and the depths at the four corners…

A:

Q: Find the height of the prismatoid with a volume 64 if the base areas are 8 cm^2 and 22 cm^2, if the…

A: Given Information - Base area of prismatoid =  8 cm2 and 22 cm2  Area of mid section = 10 cm2…

Q: A wooden block is in the shape of a square pyramid. The square base is 5 cm by 5 cm, and the pyramid…

A: Total surface area

Q: A sphere is cut by two parallel planes 3 cm apart, in such a way that the radius of the upper…

A: Given ,  A sphere is cut by two parallel planes 3 cm apart, in such a way that the radius of the…

Q: The larger figure is 5 ft wide by 8 ft high by 22 ft long. What is the remaining volume if the…

A:

Q: A sphere has radius 2 and a hemisphere ("half" a sphere) has radius 4. Compare their volumes.

A: Volume of sphere=43πr3Volume of hemisphere=23πr3

Q: A cone-shaped pile of sawdust has a base diameter of 36 feet, and is 13 feet tall. Find the volume…

A:

Q: Find the volume of the cone given its radius is 4 cm and its slant height of 6 cm. If necessary,…

A: Given query is to find the volume of the cone.

Q: which has a bigger volume? a sphere with radius 2 meters or a pyramid with base 2.5 meters and…

A:

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

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