Question

the circumference of the base of a cylinder is 176 cm and its height is 65 cm find the volume and lateral surface area of the cylinder​

Answer 1

Lateral surface area of a cylinder is given by,

LSA = 2*pi*r*h

Given 2*pi*r = 176 cm

h = 65 cm

Hence LSA = 176*65 cm^2

LSA = 11440 cm^2 or 1.1440 m^2

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Answer 2

Answer:

Volume of the cylinder = $160160 \: cm{}^{3}$

Lateral surface area of the cylinder = $11440 \: cm {}^{2}$

Step-by-step explanation:

Let the base radius of the cylinder be r cm

Then circumference of it base = $(2\pi \: r) \: cm$

But circumference of the base = 176 cm

∴ $2\pi \: r = 176$⇒$2 \times \frac{22}{7} \times r = 176$

⇒r = $(176 \times \frac{7}{44} ) = 28$

Now, r = 28 cm and h = 65 cm

Volume of the cylinder = $(\pi \: r {}^{2} h) \: cubic \: units$

= $( \frac{22}{7} \times 28 \times 28 \times 65) \: cm {}^{3} = 160160 \: cm {}^{3}$

Lateral surface area of the cylinder = $(2\pi \: rh) \: sq \: units$

= $(2 \times \frac{22}{7} \times28 \times65)cm {}^{3}$

= $11440 \: cm {}^{2}$