Question

a tank is in the form of a right circular cylinder its height is 48 metre and the base area is 616 square metre find the lateral surface area and volume of cylinder

Answer 1

base area =2πr
616=2*22/7*r
616*7/22*2
r=98

lsa of cylinder =2πrh
=2*22/7*98*48
=29568m^2

Answer 2

Answer:

The volume of a cylinder is 29541.2 m³ and Lateral surface area of a cylinder is 4220.16 m² .

Step-by-step explanation:

Formula

$Area\ of\ circle = \pi r^{2}$

Where r is the radius of the cylinder .

As given

The base area of the cylinder is 616 square metre .

(As the base of the cylinder in the form of circle.)

$\pi = 3.14$

$616 = 3.14r^{2}$

$r^{2}=\frac{616}{3.14}$

$r^{2}=196.19$

$r = \sqrt{196.19}$

r = 14 m (Approx)

Formula

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

Where r is the radius and h is the height .

As given

A tank is in the form of a right circular cylinder its height is 48 m .

h = 48 m

r = 14 m

Putting all the values in the formula

$Volume\ of\ a\ cylinder =3.14\times 14\times 14\times 48$

Volume of a cylinder = 29541.12 m³ (Approx)

Formula

$Lateral\ surface\ area\ of\ a\ cylinder = 2\pi\ r\ h$

Lateral surface area of a cylinder = 2 × 3.14 × 14 × 48

                                                        = 4220.16 m²

Therefore the volume of a cylinder is 29541.2 m³ and Lateral surface area of a cylinder is 4220.16 m² .