Question

The circumference of the base of a right circular cylinder is 154cm and its height is 1.5m find the lateral surface area of m^2

Answer 1

Answer :


Given Circumference of Cylinder = 154 cm => 154 ÷ 100 => 1.54 m

Given height of the cylinder = 1.5 m

As we know that Circumference = 2πr

Where r is radius and π is constant, it can either be 22/7 or 3.14


Therefore,

$2 \times \pi \times r = 1.54 \\ \\ = > 2 \times \frac{22}{7} \times r = 1.54 \\ \\ = > \frac{44}{7} r = 1.54 \\ \\ \frac{44}{7} r = \frac{154}{100} \\ \\ = > r = \frac{154}{100} \times \frac{7}{44} \\ \\ r = \frac{77}{50} \times \frac{7}{44} \\ \\ r = \frac{7}{50} \times \frac{7}{4} \\ \\ r = \frac{49}{200} \\ \\ r = 0.245$

Now, radius = 0.245

So, Lateral surface area of Cylinder = 2πrh

$= > 2 \times \frac{22}{7} \times 0.245 \times 1.5 \\ \\ = > \frac{44}{7} \times 0.3675 \\ \\ 2.31 \: m {}^{2} \: or \: \frac{231}{100} \: {m}^{2}$



HOPE IT WOULD HELP YOU

Answer 2

Here is your solutions

Given :-

Circumference of Cylinder = 154 cm

Height of the cylinder = 1.5 m = 150 cm

we know that

Circumference  of circle =  2πr

154 = 2πr

154 = 2×22/7 × r

154 = 44r/7

3.5 = r/7

24.5 cm = r

Hence redius = 24.5

So, Lateral surface area of Cylinder = 2πrh

=>2×22/7 × 24.5 × 150 cm ^2

=> 23100 cm^2 or 2.31 m^2

Hence,

Lateral surface area of Cylinder is 2.31 m^2 or 23100 cm^2

Hope it helps you