Question

the area of the base of a right circular cylinder is 15400cm ^2 and it's volume is 92400cm^3.find the area of the area of the curve surface​

Answer 1

ɢɪᴠᴇɴ :-

• Area of Base = 15400 cm²
• Volume = 92400 cm³

ᴛᴏ ғɪɴᴅ :-

• Curved surface area of cylinder

sᴏʟᴜᴛɪᴏɴ :-

We know that,

➲ Area of Circle = πr² = 15400 cm²

➭ 22/7 × r² = 15400

➭ r² = 15400 × 7/22

➭ r² = 700 × 7

➭ r² = 4900

➭ r = √4900

➭ r = 70 cm

Now,

We know that,

➲ Volume of Cylinder = πr²h = 92400

➭ πr²h = 92400

➭ πr² × h = 92400

➭ 15400 × h = 92400

➭ h = 92400/15400

➭ h = 6

Now,

We know that,

➲ Curved surface area of cylinder = 2πrh

➭ 2πrh = 2 × 22/7 × 70 × 6

➭ 2 × 22 × 60

➭ 44 × 60

➭ 2640 cm²

Hence,

• Curved surface area = 2640 cm²

Answer 2

The area of the base of a right circular cylinder is 15400cm².

Formula of area of base = πr²

πr² = 15400

22/7 × r² = 15400

r² = (15400*7)/22

r² = 4900

r = 70

Radius is 70 cm.

Volume of cylinder = πr²h

We are given that  its volume is 92400 cm³.

πr²h =92400

(22/7) × (70)² × h = 92400

(70)² × h = 92400 × (7/22)

4900 × h = 29400

h = 6

Height is 6 cm.

Curved surface area of cylinder = 2πrh

Curved surface area of cylinder = 2×(22/7)×70×6

Curved surface area of cylinder = 2640cm².

The area of the curved surface is 2640cm².