Question

What is the height of the cylinder in the diagram? Round your answer to the nearest whole number. 6cm=radius v=904.78 cm3

Answer 1

Answer:

$h=8\ cm$

Step-by-step explanation:

we know that

The volume of a cylinder is equal to

$V=\pi r^{2} h$

where

r is the radius of the base of cylinder

h is the height of the cylinder

In this problem we have

$r=6\ cm\\V=904.78\ cm^{3}$

substitute the values and solve for h

$904.78=\pi (6)^{2}h$

$h=904.78/(\pi (6)^{2})$

$h=8\ cm$

Answer 2

V=hpir^2
solve for h fore easier
V/(pir^2)=h

given
r=6
v=904.78


904.78/(3.141592*6^2)=h
904.78/(3.141592*36)=h
8.0000132=h
about 8cm is height