Question

Find the volume of the cylinder if the circumference of the cylinder is 176 cm and height is 25 cm.​

Answer 1

Step-by-step explanation:

GIVEN:-

Circumference of the cylinder is 176cm.

Height of the cylinder is 25cm.

TO FIND:-

The Volume of the cylinder.

UNDERSTANDING THE CONCEPT:-

We can find the radius of the cylinder from the circumference of the base.

Then the height is also given.

So after finding Radius , We can also find the volume by substituting the value of radius in the respective formula.

CONCEPT REFRESHER:-

We know that base of the cylinder is circular and we have it circumference as 176cm. From this we can find radius.

REQUIRED ANSWER:-

Radius => C = 2πr

$= > 176 = 2 \times \frac{22}{7} \times r$

$= > r = \frac{176 \times 7}{44}$

=> r = 28cm

Now, We can find the volume of the cylinder as we know the formula => v = πr^2h

$= > \frac{22}{7} \times (28) {}^{2} \times 30$

$= > 22 \times 28 \times 4 \times 30$

$= > 73920cm {}^{3}$

Therefore, The Volume of the cylinder is 73,920cm^3