Question

the height of cylinder is 14 cm and its curved surface area is 264 CM square the volume of cylinder and centimetre cube is

Answer 1

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Answer 2

Answer:

The volume of the cylinder is 396 centimeter cube.

Step-by-step explanation:

Given : The height of cylinder is 14 cm and its curved surface area is 264 cm square.

To find : The volume of cylinder and centimeter cube is?

Solution :

The curved surface area of the cylinder is $CSA=2\pi r h$

We have given, height h= 14 and CSA = 264 cm square and $\pi =\frac{22}{7}$

Substitute in the formula,

$CSA=2\pi r h$

$264=2(\frac{22}{7}) r (14)$

$r=\frac{264}{2\times \frac{22}{7}\times 14}$

$r=3$

The radius of cylinder = 3 cm

Now, The volume of cylinder is $V=\pi r^2 h$

Substitute, r=3 , h=14 and $\pi =\frac{22}{7}$

$V=\pi r^2 h$

$V=\frac{22}{7}\times 3^2\times 14$

$V=22\times 9\times 2$

$V=396 cm^3$

Therefore, The volume of the cylinder is 396 centimeter cube.