Volume of Cylinders, Cones, and Spheres

Question 1

Which three-dimensional figures have lateral faces that are polygons? Check all that apply.conescylindershemispheresprismspyramidsspheres

Revolt · Accepted Answer

B: cylinders; D: prisms; E: pyramids

Question 2

A cone has a radius of 5 cm and a slant height of 10 cm. The area of the base of the cone is π cm2. The lateral area of the cone is π cm2. The surface area of the cone is π cm2.

Revolt · Accepted Answer

B: 25

Question 3

Question 3

Revolt · Accepted Answer

216975

Question 4

Which statements are correct? Check all that apply.

Revolt · Accepted Answer

A: The surface area of the sphere in terms of r is 4πr2 square units.; B: The surface area of the cylinder in terms of r is 4πr2 square units.; D: The surface area of the cylinder and sphere are the same.

Question 5

A right cylinder has a radius of r inches and height of 2r inches. In terms of r, the lateral area of the cylinder isr2π square inches. The area of the two bases together is r2π square inches. The total surface area of the cylinder isr2π square inches.

Revolt · Accepted Answer

C: 4

Question 6

A right pyramid with a regular hexagon base has a height of 3 units. If a side of the hexagon is 6 units long, then the apothem is √3 units long. The slant height is the hypotenuse of a right triangle formed with the apothem and the . Using the Pythagorean theorem c = to find the slant height results in a slant height of units. The lateral area is square units.

Revolt · Accepted Answer

B: 3

Question 7

A right cylindrical solid is cut in half to form the figure shown. If the length is 20 cm and the diameter is 8 cm, what is the surface area?

Revolt · Accepted Answer

B: (96π + 160) cm2

Question 8

A tower is composed of a prism with a square base and a pyramid. The base length is 20 meters, and the height of the prism is 40 meters, while the slant height of the pyramid is 10√2 meters. What is the total surface area, including the bottom base?

Revolt · Accepted Answer

A: 400√2 + 3,600 m2

Question 9

A jumbo crayon is composed of a cylinder with a conical tip. The cylinder is 12 cm tall with a radius of 1.5 cm, and the cone has a slant height of 2 cm and a radius of 1 cm. The lateral area of the cone is π cm2. To wrap paper around the entire lateral surface of the cylinder, π cm2 of paper is needed. The surface area, including the bottom base of the crayon, is π cm2.

Revolt · Accepted Answer

C: 2

Question 10

A cube has a lateral area of 9 square centimeters. What is the length of each edge of the cube?

Revolt · Accepted Answer

A: 1.5 cm

Volume of Cylinders, Cones, and Spheres Answers

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