Question

The height of a right circular cylinder is 14 cm. If the curved surface area is four times the area of the base, find the total surface area.​

Answer 1

Given : A Right circular cylinder

Height =14cm

curved surface area (CSA)=704sq.cm

Volume = ?

We know,

Curved surface area of cylinder =2πrh

704cm² =2πr×14cm

$r= \frac{704cm}{2π×14}$

$r= \frac{352cm}{14π}$

$r=\frac{176cm}{7π} \: (putting π= \frac{22}{7})$

$r= \frac{176×7}{7×22} \: cm$

r=8cm

Volume of a Right circle cylinder (v)= πr²h

$=\frac{22}{7}×8×8×14cm^3$

=2816cm³

Answer 2

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