122k views
2 votes
How does the volume of a sphere compare to that of the volume of a cylinder? What would you say the scale factor for Vol sphere:Vol cylinder

1 Answer

2 votes

Answer:

The volume of a sphere is 2/3 times the volume of a similar cylinder

Scale factor : 2/3

Explanation:

Let us consider a sphere of radius r. The volume of the sphere will be given as


V_(s)=(4)/(3) \pi r^(3)

Similarly, let us consider a cylinder with its height being twice the radius of the sphere. We will have its volume given as:


V_(c)=\pi r^(2)h

but h = 2r

Hence we have


V_(c)= 2\pi r^(3)h

We can divide the two volumes to get a constant that links them together


(V_(s))/(V_(c))=((4)/(3) \pi r^(3))/(2\pi r^(3)h)

this will give us 2/3

Hence the scale factor for Vol sphere: Vol cylinder is 2/3

User Shahar Galukman
by
7.9k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories