Question

the volume of a cylinder is 866.25 m².if diameter of cylinder is 7 m, find the height of cylinder.​

Answer 1

Answer:

volume of cylinder = π r^2 h

diameter =7

radius = 7/2 = 3.5 m

π r^ 2 h = 866.25

22/7 × 3.5 ×3.5 × h = 866.25

h = 866.25 × 7

22× 3.5×3.5

h = 22.5 m

Answer 2

$V = 866.25{m}^{3}$

d = 7m

$r \: = \: \frac{d}{2}$

$= \: \frac{7}{2}$

= 3.5m

$v \: = \: \pi {r}^{2} h$

$866.25= \: \frac{22}{7} \times 3.5 \times 3.5 \times h$

$h= \: 866.25 \times \frac{7}{22} \times \frac{1}{3.5} \times \frac{1}{3.5}$

= 22.5m