Question

If the area of the base of the cylinder is 90 sq cm and its height is 12 cm, then find
its volume.​

Answer 1

$\huge\bf{\red{SOLUTION:-}}$

$\sf\underline{\blue{\:\:\:\:\: Given:-\:\:\:\:\:}}$

$\sf\bullet Area\:of\:base\:of\: cylinder (\pi r{}^{2})=90cm{}^{2}\\ \\ \sf\bullet Height\:(h)=12cm\\ \\ \sf\:\:\:\:\:Now\:Find\:the\:volume\:of\: cylinder$

$\underline{\sf{\dag{\:\:Volume\:of\: cylinder=\pi r{}^{2}h}}}$

$\bf\underline{\underline{\red{\:\:\:\:A.T.Q:-\:\:\:\:}}}$

$\sf\implies Volume\:of\: cylinder=\pi r{}^{2}h\\ \\ \sf\:\:\:\bullet \pi r{}^{2}= 90cm{}^{2}\\ \\ \sf\bullet and\:\:h= 12cm\\ \\ \sf\implies Volume= 90\times 12\\ \\ \sf\implies Volume=1080cm{}^{3}$

$\boxed{\bigstar{\sf{Volume\:of\: cylinder=1080cm{}^{3}}}}$

$\bf\underline{\underline{Extra\: information\: related\: cylinder:-}}$

$\sf\bullet T.S.A\:of\: cylinder=2\pi r(h+r)\\ \\ \sf\bullet C.S.A\:of\: cylinder=2\pi r h\\ \\ \sf\bullet Volume\:of\: cylinder=\pi r{}^{2}h$

Answer 2

Answer:

Step-by-step explanation:

Given :-

Area of base of cylinder = 90 cm²

Height of cylinder = 12 cm

To Find :-

Volume of the cylinder

Formula to be used :-

Volume of Cylinder = πr²h

Solution :-

⇒ Area of base of cylinder = πr² = 90 cm²

Putting all the values, we get

⇒ Volume of Cylinder = πr²h

⇒ Volume of Cylinder = 90 × 12

⇒ Volume of Cylinder = 1080 cm³

Hence, the Volume of the cylinder is 1080 cm³.

Extra Information :-

• Surface Area of a Cylinder = 2πr (r + h)
• Curved Surface Area of a Cylinder = 2πrh
• Volume of a Cylinder = πr²h