1 of 3

SURFACE AREAS

AND VOLUMES

  • Sum based on Cylinder

2 of 3

Sol.

Radius (r) = 3 cm

Height (h) = 7 cm

Curved surface area of cylinder = 2πrh

= 2 ×

× 3

× 7

= 2 × 22 × 3

= 132 cm2

Total surface area of cylinder = 2πr (r + h)

= 2 ×

× 3

× (3 +

2 × 22 × 3 × 10

= 188.57 cm2

7

=

1320

7

=

 

What is formula for finding curved surface area of cylinder ?

2πrh

What is formula for finding total surface area of cylinder ?

2πr(r+h)

22

7

22

7

7)

Curved surface area of cylinder

∴

Total surface area of cylinder

∴

3 of 3

 

Volume of cylinder = πr2h

=

× 3 × 3

× 7

= 22 × 9

= 198 cm3

Curved surface area is 132 cm2,

Total surface area is 188.57 cm2 and

Volume is 198 cm3

What is formula for finding volume of cylinder

πr2h

Sol.

Radius (r) = 3 cm

Height (h) = 7 cm

22

7

∴

Volume of cylinder

∴