Question

what is the approximate value of π? a. 3.14 b. 3.5 c. 3.41 d. 3.0 what happens to the volume of a cylinder if both the radius and height are doubled? a. the volume triples. b. the volume stays the same. c. the volume increases by a factor of 8. d. the volume increases by a factor of 6.

Explanation:

Step1: Recall the value of pi

The approximate value of $\pi$ is 3.14.

Step2: Recall the volume formula of a cylinder

The volume formula of a cylinder is $V = \pi r^{2}h$. If the radius becomes $2r$ and the height becomes $2h$, the new volume $V'=\pi(2r)^{2}(2h)=\pi\times4r^{2}\times2h = 8\pi r^{2}h$. So the volume increases by a factor of 8.

Answer:

a. 3.14
c. The volume increases by a factor of 8.