Question

The LSA of right circular cylinder is 448cm2 and the radius of circular bases is 7cm find out volume of cylinder

Answer 1

GIVEN:

LSA of right circular cylinder = 448cm²

The radius of circular base = 7cm

TO FIND:

The volume of cylinder

SOLUTION:

We know that,

LSA of the cylinder = 2πrh

According to the problem,

==> 2πrh = 448

==> 2 × 22/7 × 7 × h = 448

==> 44h = 448

==> h = 448/44

==> 10.18cm

Volume of the cylinder = πr²h

= 22/7 × 7² × 10.18

= 22 × 7 × 10.18

= 1,567.72cm³

The volume of cylinder is 1,567.72cm³

Answer 2

$\bold\red{\underline{\underline{Answer:}}}$

$\bold{Volume \ of \ cylinder \ is \ 1568 \ cm^{3}}$

$\bold\orange{Given:}$

$\bold{For \ right \ circular \ cylinder,}$

$\bold{=>Lateral \ surface \ area=448 \ cm^{2}}$

$\bold{=>Radius(r)=7 \ cm}$

$\bold\pink{To \ find:}$

$\bold{Volume \ of \ cylinder.}$

$\bold\green{\underline{\underline{Solution}}}$

$\bold{Let \ height \ be \ h.}$

$\bold{Lateral \ surface \ area \ of \ cylinder}$

$\bold{=2×\pi×r×h}$

$\bold{\tt{\therefore{2×\pi×r×h=448}}}$

$\bold{\pi×r×h=\frac{448}{2}}$

$\bold{\pi×r×h=224...(1)}$

___________________________

$\bold{Volume \ of \ cylinder=\pi×r^{2}×h}$

$\bold{=(\pi×r×h)×r}$

$\bold{From \ (1)}$

$\bold{=224×7}$

$\bold{=1568 \ cm^{3}}$

$\bold\purple{\tt{\therefore{Volume \ of \ cylinder \ is \ 1568 \ cm^{3}}}}$