Question

Find the curved surface area, total surface area and volume of a cylinder with diameter 7 cm and height 22. 5 cm. (π = 7/22)​

Answer 1

Answer:

Step-by-step explanation:

Given that,

Diameter of the cylinder = d = 7 cm. And

Height of the cylinder = h = 22.5 cm.

Curved surface area of the cylinder

= 2πrh

= 2 × 22/7 × 7/ 2 × 22.5

= 22 × 22.5

= 495 cm². Is the answer.

Total surface area of the cylinder

= 2πr ( r + h )

= 2 × 22/7 × 7/2 ( 7/2 + 22.5 )

= 22 ( 3.5 + 22.5 )

= 22 ( 26 )

= 572 cm². is the answer.

Volume of the cylinder

= πr²h

= 22/7 × ( 7/2)² × 22.5

= 22/7 × 7/2 × 7/2 × 22.5

= 77/2 × 22.5

= 38.5 × 22.5

= 866.25 cm³ is the answer.