Question

the area of the base of a right circular cylinder is 872 cm^2 and its volume is 4360 m^3. find the height of the cylinder

Answer 1

Answer:

height of the cylinder h= 50000 m (if in question base of cylinder is 872   m² height of the cylinder is 5m)

Step-by-step explanation:

Answer 2

The area of the base of a right circular cylinder is 872 cm^2. Then height of cylinder is 50000 metre

Solution:

Given that area of base of right cylinder = 872 $cm^2$

area of base of right cylinder = $\pi r^2$

where "r" is the radius

$872 = \pi \times r^2\\\\\pi r^2 = 872 cm^2\\\\\pi r^2 = 872 \times 10^{-4} m^2$

Given volume = 4360 $m^3$

Volume of cylinder = $\pi r^2 h$

Now as we calculated, substitute $\pi r^2 = 872 \times 10^{-4}$ in above formula

$4360 = 872 \times 10^{-4} \times h\\\\h = \frac{4360}{872 \times 10^{-4}}\\\\h = 5 \times 10^4 = 50000 metre$

Hence height of cylinder = 50000 metre

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