Question

The base radius and height of a right circular cylinder are 5 cm and 10 cm. Its total surface area is?
(a) 150π cm² (b) 300π cm² (c) 150 cm² (d) 300 cm²

please answer with a proper explanation...

Answer 1

Given:-

there's a right circular cylinder whose

• Radius = 5cm
• height =10cm

To Find:-

• Total surface area of Right circular cylinder.

For Information:-

A right circular cylinder is a three-dimensional solid figure.It Has 2 Parallel circular base on it's end.

Total surface area of right circular cylinder= surface area of cylinder+surface area of 2 circular base

$\sf total \: surface \: area = 2\pi rh + 2\pi {r}^{2}$

$\sf\boxed{total \: surface \: area = 2\pi r(h + r)}$

Solution:-

$\rightarrow \: Total \: surface \: area =2πr(h+r)$

Substituting the value in it

$\rightarrow2\pi \times 5(10 + 5) {cm}^{2}$

$\rightarrow2\pi \times 5(15) {cm}^{2}$

$\rightarrow2\pi \times 75 {cm}^{2}$

$\rightarrow150\pi {cm}^{2}$

∴Total surface area of Right circular cylinder is 150π cm².

Option (a) 150π cm² is your Answer.