Volume of Cone and Cylinder RCT 5 Review

A cone and cylinder have the same height and their bases are congruent circles. If the volume of the cylinder is 120 in³, what is the volume of the cone?

• 60 in

• 30 in

• 40 in

• 240 in

The graph shows the relationship between a sphere’s radius and volume. Select all the statements that are true about this relationship.

• If the radius doubles, the volume doubles.

• If the radius doubles the volume becomes about 4 times bigger.

• If the radius doubles, the volume becomes about 8 times bigger.

• The relationship is linear.

• The relationship is not linear.

A sphere has a radius of 9 centimeters. What is its volume, to the nearest cubic centimeter?

• 254 cm³

• 85 cm³

• 3052 cm³

• 1250 cm³

For cones with radius 5.4 units, the equation V = 10πh relates the height h of the cone, in units, and the volume V of the cone in cubic units. What is the volume of the cone for a height 1, 5 and 8

(a)  

A cylinder has radius 4 meters. Its volume is 155 cubic meters. Find its height to the nearest tenth of a meter.

(a)  

For cylinders with radius 2 units, let h represent the height of the cylinder, in units, and V represent the volume of the cylinder, in cubic units. Complete the table relating the height and volume of cylinders with radius 2 inches. Write each volume as a multiple of π, or round to the nearest cubic unit. | h | V | |---|---| | 1 | | | 2 | | | 3 | | Use the formula V = πr²h for the volume of a cylinder.

(a)  

Three students each calculated the volume of a sphere with a radius of 6 centimeters. Diego found the volume to be 288 pie cubic centimeters. Andre approximated 904 cubic centimeters. Noah calculated 226 cubic centimeters. Do you agree with any of them?

• Yes, I agree with Diego.

• Yes, I agree with Andre.

• Yes, I agree with Noah.

• No, I do not agree with any of them.

A cylinder has a radius of 5 cm and a height of 10 cm. What is its volume, to the nearest cubic centimeter?

• 785 cm³

• 1570 cm³

• 314 cm³

• 500 cm³

A cone has a base radius of 4 cm and a height of 9 cm. What is its volume, to the nearest cubic centimeter?

• 120 cm³

• 48 cm³

• 301 cm³

• 150 cm³

A sphere has a diameter of 12 cm. What is its surface area, to the nearest square centimeter?

• 314 cm²

• 904 cm²

• 452 cm²

• 678 cm²