Exam Review: Volumes and Surface Areas of 3 D

Front

What is the formula for the volume of a cylinder?

Back

V = πr²h

Front

How do you calculate the surface area of a cylinder?

Back

SA = 2πrh + 2πr²

Front

What is the volume of a cylinder with a radius of 3 inches and a height of 5 inches?

Back

V = π(3)²(5) = 45π in³

Front

What does the 'B' in the volume formula V = Bh represent?

Back

Area of the base

Front

What is the formula for the volume of a sphere?

Back

V = (4/3)πr³

Front

How do you find the surface area of a sphere?

Back

SA = 4πr²

Front

What is the volume of a hemisphere with a radius of 4 inches?

Back

V = (2/3)πr³ = (2/3)π(4)³ = 42.67π in³

Front

What is the formula for the volume of a cone?

Back

V = (1/3)πr²h

Front

How do you calculate the surface area of a cone?

Back

SA = πr(r + l) where l is the slant height.

Front

What is the volume of a cone with a radius of 2 inches and a height of 6 inches?

Back

V = (1/3)π(2)²(6) = 8π in³