A rectangle has dimensions of 6 in. by 3 in. Find the exact volume of the solid of revolution formed when the rectangle is rotated about its 6-in. side.

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 base of a solid is the circle x² + y² = 16. Find its volume if every section perpendicular to…

A: Given that base of a solid is in the form of a circle whose equation is given as x2+y2=16 Also,…

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: The base of a pyramid has an area of 48 in².  If the height of the pyramid is 12 in, what is the…

A:

Q: The vertex of a cone is at the upper vertex of a cube. The base of a cone is circle which is…

A: Volume of cone

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: Find the volume of the composite solid. 2 in. 4 in.

A: The volume of the cone is calculated by using the formula, V=13πr2h, where  r  is the radius of the…

Q: A right square pyramid and its dimensions are shown below. 4 m ...... - 2.5 m - Which of the…

A: NOTE: Refresh your page if you can't see any equations. . given data: the base length of the pyramid…

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

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Q: The area of the lune is given at 25 sq. cm. If it is 1/8 of the total surface area of its mother…

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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: Find the volume of the Sphere 5 m¸-

A:

Q: A pentagonal pyramid has a base dimension of 3m and a height of 9m. determine: A. the slant height…

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Q: If you fit the largest possible cone inside a sphere, what fraction of the volume of the sphere is…

A: In the given question we have to tell about the fraction of the volume of the sphere occupied by the…

Q: Find the surface area of a cylinder with a height of 6 in and a base radius of 2 in.

A: surface area of the cylinder = 2 pai r h

Q: 4. The altitude of a right hexagonal prism is twice as long as the edge of the base. If the prism…

A: Given Volume = 1923in3

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: A carpenter chisels a square hole of side 2 in. through a round post of radius 2 in., the axis of…

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

A:

Q: 2. The EXACT surface area of a cylinder is 160a in?. If the radius is 5 in, find the height & the…

A: Surface area of cylinder = 2πrh + π r2 And  Volume of cylinder V = π r2 h

Q: A cone with the same base but a height of 3 times taller than a cylinder with a height of 4 and a…

A: ANSWER :

Q: The Volume of the cone is 205.91 in³. Find the answer that best matches the radius of the cone. 6.5…

A: Volume of cone = π r2h /3 r = radius of cone h = height of cone

Q: Determine the volume if the area common with the equations written below is revolved about the…

A: The equation of the parabola is y2-3x+7y=8 and x2-4x+3=y2 represents a hyperbola. The washer method:…

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: A cone fits insides a cylinder so that their bases are the same and their heights are the same, as…

A:

Q: The exact volume of a right circular cone (not shown) is 32 in³. If the length of the base radius is…

A: V=13π r2hr is the radiush is the altitude

Q: Derive the formula for the volume of a sphere of radius r.

A: The volume of cylindrical element with radius x and altitude dy.                    dV  =  πx2 dy…

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

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Q: A rectangular prism has the following offsets at every corner: 4.6m, 5.8m, 7.2m, and 6.8m. If the…

A: Given a rectangular prism with the following offsets at every corner 4.6 m, 5.8 m, 7.2 m and 6.8 m…

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: 10. A right pyramid has a square base and a lateral area of 144 in?. If the slant heights is twice…

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Q: 3. The base of a right regular hexagonal prísm has a perimeter of 36 cm and a volume of 396v3 cm³.…

A: Given that,  The perimeter of base of a right regular hexagonal prism is 36 cm. The base of the…

Q: A square pyramid has a volume of 245 in3. The height of the pyramid is 15 in. What is the area of…

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Q: Find the height and the volume of a regular hexagonalpyramid with lateral edges 10 ft and base edges…

A: Volume of a hexagonal pyramid = 13×base area×height Height of a pyramid can be calculated using…

Q: Find the volume of the regular pyram e area of the base is 166.276 sq m. The height is 24 m. 8 m

A: The volume of regular pyramid is 13×area of base × height=13×166.276×24=1330.208 m3 The answer is…

Q: Two similar cones have areas of 16n in² and 49n in?. If the Volume of the larger cone is 1250 in³,…

A: According to the problem, we have

Q: The edges at a common vertex of a tetrahedron are perpendicular to each other. The lenghts of these…

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Q: A triangle has sides that measure 15 cm, 20 cm, and 25 cm. Find the exact volume of the solid of…

A: Sides of the triangle are 15 cm, 20 cm and 25 cm. Since 152+202=252, therefore given triangle holds…

Q: The formula for the volume of a cone is most closely related to which of the following…

A: The formula for the volume of a cone is most closely related to which of the following…

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

A:

Q: for a regular square pyramid, the slant height of lateral face has a measure equal to that of each…

A: The given pyramid is square  Let the edge of square base = x Slant height l = x Lateral area A = 200…

Q: A right triangle with dimensions 9in x 12in x 15 in is spun around the side of length 12in. What is…

A: Volume of cone =( πr2h)/3

Q: 2. The EXACT surface area of a cylinder is 160n in?. If the radius is 5 in, find the height & the…

A: Given: Surface area of cylinder(A)=160π in2            radius of cylinder(r)=5 in To find: (a)…

Q: What is the best approximation of the volume, in cubic units, of a pyramid of height 4 and a square…

A:

Q: In the accompanying regular pentagonal prism, suppose that each base edge measures 6 in. and that…

A: a) Obtain the lateral area of the given prism as follows. Lateral Area,…

Q: The exact volume of a right circular cone (not shown) is 32n in'. If the length of the base radius…

A: Given: volumev of right circular cone is 32π in3 We know that volumev of right circular cone is…

Q: A.cone,301.6 B.sphere,904.8 C.cylinder,301.6 D.cone,904.8

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Q: Calculate the volume of the square pyramid.   13FT X 10FT

A:

Q: Find the volume of a frustum of a regular pyramid with hexagonal bases whose sides are 4cm and 6cm,…

A: To find the volume of a frustum of a regular pyramid with hexagonal bases whose sides are 4 cm and 6…

Q: The surface area of ​​a truncated square pyramid is 2873 cm 2 . The base and the top side lengths…

A: