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

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

anonymous · Answer

@dtan5457

danjs · Answer

175 = pi*r^2*7

danjs · Answer

find r= radius and double it to get diameter

crashonce · Answer

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

dtan5457 · Answer

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

dtan5457 · Answer

yep^

the radius is 5, which 5^2=25 times 7=175

diameter is twice the radius, so it's 10

anonymous · Answer

thank you all:)

danjs · Answer

i got the diameter is 5.64

danjs · Answer

$$\frac{ 10 }{ \sqrt{\pi} } \approx 5.64$$

danjs · Answer

oh 175 pi is the volume, not just 175

danjs · Answer

yeah then diameter is 10

danjs · Answer

$$175 \pi = \pi * r^2 * 7$$
$$175 = r^2 *7$$
$$r = 5$$

d=2r = 10