The volume of a cylinder of height 8cm is 1232cm3. Find its curved sur

1.	The volume of a cylinder of height 8cm is 1232cm3. Find its curved surface area and total surface area.
Answer» Given that height of the cylinder is 8cm and volume is 1232cm³. Therefore volume of the cylinder = πr²h 1232 = 22/7 × r× r × 8 r²= 1232 × 7/ 8 r = 7cm Also we know that curved surface area of cylinder= 2πrh Curved surface area = 2 × 22/7 × 7 × 8 Curved surface area = 252 cm² We know that total surface area of cylinder = 2πr(r + h) Total surface area = 2 × 22/7 × 7 (7 + 8) Total surface area = 2580 cm²

The volume of a cylinder of height 8cm is 1232cm3. Find its curved surface area and total surface area.

Answer»

Given that height of the cylinder is 8cm and volume is 1232cm³.

Therefore volume of the cylinder = πr²h

1232 = 22/7 × r× r × 8

r²= 1232 × 7/ 8

r = 7cm

Also we know that curved surface area of cylinder= 2πrh

Curved surface area = 2 × 22/7 × 7 × 8

Curved surface area = 252 cm²

We know that total surface area of cylinder = 2πr(r + h)

Total surface area = 2 × 22/7 × 7 (7 + 8)

Total surface area = 2580 cm²