The lengths of the legs of a right triangle are 4 cm and 6 cm. If the triangle is rotated about one of its legs to create a right circular cone, which of the legs has the greatest volume. Round to the nearest tenth

Q: The upper base of a frustum of a pyramid is 3m x 4m while the lower base is 6m x 8m. If the volume…

A: Pyramid

Q: A triangular sandpit having side lengths 5 m, 4 m and 8 m is to be constructed to a depth of 20 cm.…

A: The volume of a solid is calculated by multiplying the area of the base by the height/depth. The…

Q: If 30,000 cm2 of material is available to make a box with a square base and an open top, find the…

A:

Q: hat would happen to the volume of the cone if the radius of its base is tripled and the height is…

A: Given that: A cone

Q: The lengths of the legs of a right triangle are 4 cm and 6 cm. If the triangle is rotated about one…

A: *to find :  greatest volume of cone. *concept : for getting max volume we need to revolve triangle…

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: A square pyramid and a triangular pyramid each have a base that measures 36 square inches. The…

A: Given  There is a square and triangular pyramid both have 36 square inches area of base and volume…

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A:

Q: If 1700 square centimeters of material is available to make a box with a square base and an open…

A: GIVEN - 1700 square centimeters of material is available to make a box with square base and an open…

Q: A rectangular piece of metal is 15 in longer than it is wide. Squares with sides 3 in long are cut…

A:

Q: A rectangular piece of metal is 5in. longer than it is wide. Squares with sides of 4in. long are cut…

A: Given: A rectangular piece of metal is 5in. longer than it is wide. Squares with sides of 4in. long…

Q: A rectangular piece of metal is 30 in longer than it is wide. Squares with sides 6 in long are cut…

A:

Q: If 1,200 cm2 of material is available to make a box with a square base and an open top, find the…

A: An open top square base box has area 1200 cm2.

Q: A square pyramid and a triangular pyramid each have a base that measures 36 square inches. The…

A: The Volume of a Square Pyramid Formula is =  13×A1×h1      (A1 = Area of base of square pyramid, h1…

Q: A gusset is the shape of a right triangular prism. If the right triangular base has dimensions 3.0…

A: Given: Of a triangular prism, the right triangular base has dimensions 3.0 in. by 4.0 in by 5.0 in.…

Q: If the diameter of the base remains constant, by what factor should the altitude be multiplied to…

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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…

A:

Q: If 30,000 cm2 of material is available to make a box with a square base and an open top, find the…

A:

Q: A box with an open top is to be constructed from a square piece of cardboard, 3 feet wide, by…

A: Four square pieces at the corners of a square cardboard of size 3 × 3 feet.  And it was made into a…

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

A: Let the initial radius and height of the cylinder be R and H respectively.

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 cylinder has a height of 12 in. and a radius of 4 in. How can you change the radius 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: Suppose that the volume of an aluminum can is to be 97 in. Find the dimensions of the can if the…

A: given: the volume of an aluminium can is 9π in3. we have to find the dimensions of the can if the…

Q: A box with an open top is to be constructed from a square piece of cardboard 2m inches wide, by…

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Q: Suppose two cylindrical tubes with the same diameter intersect at right angles. If the diameter of…

A: To find the volume of the common part between two cylindrical tubes kept at 90° .

Q: Find the volume of a regular triangular pyramid if the length of one side of the base is 12 cm and…

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Q: What would happen to the volume of the cone if the radius of its base is tripled and the height is…

A:

Q: The base of a pyramid is a right triangle. If the legs of the right triangle have lengths 8 and 6,…

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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: If 1,200 cm2 of material is available to make a box with a square base and an open top, find the…

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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

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A: we know that volume of semi sphereV1, volume of right circular coneV2 and volume of cylinder V3 is…

Q: If 30,000 cm2 of material is available to make a box with a square base and an open top, find the…

A:

Q: If 8, 664 cm² of material is available to make a box with a square base (and a closed top), find the…

A: Given data- Surface area of box=8,664 cm2. we have to make a box with a square base and a closed…

Q: If the long edge of the rectangular block A is 17 times longer than the long edge of block B, and…

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Q: If 30,000 cm2 of material is available to make a box with a square base and an open top, find the…

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Q: If a cylinder, a hemisphere and a cone stand on equal bases and have the same heights, what wil be…

A: Cylinder, Hemisphere and Cone have same bases i.e. all three have same radii (say r) Also the height…

Q: A tapered pin is in the shape of the frustum of a cone. The upper diameter is 1 in., the lower…

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Q: A cylindrical soup can has a height of 8 in. and a radius of 3in.  If the height is doubled on a…

A: We can make it easier for you

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

A: Given:

Q: of a right rectangular prism topped with a rectangular pyramid. The dimensions of the prism are 38…

A: Given, A wedding tent is transformed into the shape of a right rectangular prism topped with a…

Q: A box with square ends of side x and a length L is to be made such that L+4x = 4 meters. The…

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Q: What happens to the volume of a box if the dimensions of the base are doubled?

A: In other words, volume of the box = Area of the base * Height of the box  ...(1) If dimensions of…

Q: a box with square ends of side x and a length L is to be made such that L+4x=4 meters. The dimension…

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Q: Two similar cones have volumes 12π and 96π. If the lateral area of the smaller cone is 15π, what is…

A: since the cones are similar so l1l2 = r1r2 the the volumes are v1=12π unit3 , v2=96π unit3 so curved…

Q: he lateral edge of a regular hexagonal pyramid is two times the length of the base edge. If the…

A: Question is solved.

Q: If the radius of a sphere is doubled, the area of the sphere is multipliedby____ and the volume is…

A: Consider the given information as If the radius of a sphere is doubled, the area of the sphere is…

Q: If 4,800 cm2 of material is available to make a box with a square base and an open top, find the…

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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.