Question

A cylinder has a volume of 175pi cubic units and a height of 7 units. The diameter of the cylinder is


5 units

10 units

12.5 units

Answer 1

@dtan5457

Answer 2

175 = pi*r^2*7

Answer 3

find r= radius and double it to get diameter

Answer 4

the formula for the volume of a cylinder is stated by @DanJS :
V=pir^2 h

Answer 5

175 = pi*r^2*7

yea, so from here find what makes r^2 times 7, equal 175, can you do that?

Answer 6

yep^

the radius is 5, which 5^2=25 times 7=175

diameter is twice the radius, so it's 10

Answer 7

thank you all:)

Answer 8

i got the diameter is 5.64

Answer 9

\[\frac{ 10 }{ \sqrt{\pi} } \approx 5.64\]

Answer 10

oh 175 pi is the volume, not just 175

Answer 11

yeah then diameter is 10

Answer 12

\[175 \pi = \pi * r^2 * 7\]
\[175 = r^2 *7\]
\[r = 5\]

d=2r = 10