Volume of Cylinders, Cones, and Spheres — Unit test Answers

How many edges does a rectangular prism have?

A polygon with 3 sides is stacked to form a prism.

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The perimeter of triangle ABC is 82 inches. The triangle is rotated about a line that passes through points B and D.

Which statements about the cylinder are true? Select two options.

A solid oblique pyramid has a square base with edges measuring x cm. The height of the pyramid is (x + 2) cm.

A silo is constructed using a cylinder with a hemisphere on top. The circumference of the hemisphere and the circumference of the cylinder are equal. The diameter of the circular base of the cylinder is 10 feet. The cylinder is 40 feet tall. One of the circular bases on the cylinder is in contact with the ground.What is the area of the surface of the silo that will be exposed to rain, wind, and sun?

An oblique square prism is shown.

An oblique cone has a radius of 5 units and a height of 9 units.

A solid right pyramid has a square base with an edge length of s units and a height of h units.

The radius of the sphere is 10 units.

Cheng likes a modern lawn sculpture made of four identical solid right pyramids with square bases. He decides to create an exact copy of the sculpture, so he needs to know what volume of sculpting material to purchase.He measures each edge of each base to be 2 feet. The height of the whole sculpture is 6 feet.

A right prism has a rhombus as a base. The height of the prism is 6 inches and the volume is 144 cubic inches.Which could be the lengths of the diagonals of the rhombus?

The height of a right rectangular prism is 3 units greater than the length of the base. The edge length of the square base is x units.Which expression represents the volume of the prism, in cubic units?

An oblique prism has a square base and height of 3 centimeters.

The base of a hexagonal prism has an apothem measuring 10 inches and an area of 346.41 square inches. The prism is 12 inches tall.What is the approximate lateral area of the prism? Round to the nearest whole number.

Two cylinders are similar. The radius of cylinder A is 5.6 inches. The radius of cylinder B is 1.4 inches. If the height of cylinder B is 4 inches, what is the height of cylinder A?

A solid right pyramid has a square base. The length of the base edge is 4 cm and the height of the pyramid is 3 cm.

A grain silo is composed of a cylinder and a hemisphere. The diameter is 4.4 meters. The height of its cylindrical portion is 6.2 meters.

A triangular prism with a rectangular base is stacked on top of a rectangular prism. The rectangle has side lengths of 20 and 15 units. The rectangular prism has a height of 12. The triangular prism has a height of 16 units.