Solve the problem.
-V = 43 πr3, where r is the radius, in centimeters. By approximately how much does the volume of a sphere increase when the radius is increased from 1.0 cm to 1.1 cm?

Question

Quizplus · Accepted Answer

Using the formula given, the volume of the sphere with radius 1.0cm is:
V = 43 π(1.0)^3
V ≈ 4.19π
The volume of the sphere with radius 1.1cm is:
V = 43 π(1.1)^3
V ≈ 5.08π
The difference in volume is:
5.08π - 4.19π ≈ 0.89π
This is approximately a 21.2% increase in volume:
(0.89π/4.19π) x 100% ≈ 21.2%
The closest answer choice is A, which is about 20% increase in volume.

Solve the Problem. -V = 43 πR3, Where R Is the Radius, in the Radius