ACT Math · Area and volume
A sphere has radius 6. Which value is closest to its volume?
A sphere has radius 6. Which value is closest to its volume?
Answer and explanation
Answer: B: 905
Volume of a sphere = (4/3)πr³ = (4/3)π(216) = 288π ≈ 904.8, closest to 905. Choice A uses the radius as if it were 3 instead of 6, a common error when a diameter of 6 is mistaken for the radius: (4/3)π(3³)≈113. Choice C is exactly half of the correct volume, consistent with omitting the factor of 4 and using only (1/3)πr³ scaled incorrectly. Choice D doubles the correct volume.
More Area and volume questions
- Question 24A solid is formed by removing a cone from inside a cylinder that shares the same base and height.…
- Question 40A rectangular plot of land measures 24 feet by 18 feet. What is its area in square yards? (1 yard…
- Question 107A trapezoid has parallel bases of length 8 and 14, and a height of 6. What is its area?
- Question 111A rectangular prism has length 5, width 4, and height 3. What is its total surface area?
- Question 126A room measures 15 feet by 12 feet. What is its area in square inches? (1 foot = 12 inches)
- Question 140A garden's length is 5 more than 3 times its width. If the perimeter is 58 feet, what is the area…
Learn the method behind questions like this one
The ACT Math course teaches each tested skill through lessons, step-by-step solutions to sample problems, the complete study guide and full-length practice tests.