Bluebook SAT Test Area and Volume 2

Question 1

A cone has radius 3 cm and height 8 cm. What is its volume in terms of π?

Accepted Answer

24π cm³

Answer

V = ⅓πr²h = ⅓ × π × 9 × 8 = 24π cm³.

Question 2

A sphere has radius 3. What is its volume in terms of π?

Accepted Answer

36π

Answer

V = (4/3)πr³ = (4/3)π(27) = 36π.

Question 3

A triangle has base 15 ft and area 60 ft². What is the height?

Accepted Answer

8 ft

Answer

A = ½bh → 60 = ½ × 15 × h → h = 120/15 = 8 ft.

Question 4

A rectangular room is 12 ft long and 10 ft wide. What area of carpet covers the floor?

Accepted Answer

120 ft²

Answer

Area = 12 × 10 = 120 ft².

Question 5

A circle has area 49π. What is its radius?

Accepted Answer

7

Answer

πr² = 49π → r² = 49 → r = 7.

Bluebook SAT Practice Test