Question

the area of base of right circular cylinder is 154 cm square and its height is 14 cm.find the volume of cylinder? math solution

Answer 1

Answer -


Given area of base of the right circular cylinder = 154 sq. cm

Given height (h) = 14 cm

To find - Volume of the cylinder.

Volume of the cylinder = >

$\pi \times radius {}^{2} \times h$

So, To find the volume we need to find the radius first.

Now,

As the base of the cylinder is a circle,

Therefore, Area of circle = >
$\pi \times radius(r) {}^{2}$

Therefore,

$\pi \times {r}^{2} = 154 \\ \\ \pi = \frac{22}{7} \\ \\ \frac{22}{7} \times {r}^{2} = 154 \\ \\ 22 {r}^{2} = 154 \times 7 \\ \\ 22 {r}^{2} = 1078 \\ \\ {r}^{2} = \frac{1078}{22} \\ \\ {r}^{2} = 49 \\ \\ r = \sqrt{49} \\ \\ r = 7cm$

now r = 7cm

Therefore volume of Cylinder =
$\pi \times r {}^{2} \times h \\ \\ \frac{22}{7} \times {7}^{2} \times 14 \\ \\ 22 \times 7 \times 14 \\ \\ 2156 {cm}^{3}$


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