Question

the volume of a right circular cylinder of base radius 10m is 880m3. find the total surface area of the cylinder

Answer 1

Hello friends!!

Here is ur answer :

First, formula use in this question :

Volume of cylinder :

$= \pi {r}^{2} h$

Total surface area of cylinder :

$= 2\pi r(r+h)$

Now come to the question :

Radius r of cylinder = 10 m

Volume of cylinder = 880 m³

We have to find height.

Let the height be h.

According to question,

$\pi {r}^{2} h = 880 \: \: {m}^{3}$

$\frac{22}{7} \times 10 \times 10 \times h = 880$

$h = 880 \times \frac{1}{10} \times \frac{1}{10} \times \frac{7}{22}$

$h = 88 \times \frac{1}{10} \times \frac{7}{22}$

$h = \frac{4 \times 7}{10}$

$h = \frac{28}{10}$

$h = 2.8$

Height h of cylinder = 2.8 m

_________________________

Total surface area of cylinder :

$= 2 \times \frac{22}{7} \times 10(10 + 2.8)$

$= 2 \times \frac{22}{7} \times 10 \times 12.8$

$=804.57 \: {m}^{2}$

HOPE IT HELPS YOU..

Answer 2

correct answer for 9 class