Question

The total surface area of a cylinder is 6512cm^2 and the circumference of its base is 88cm find (1) its radius (2) its volume ​

Answer 1

Answer:

36960 cm^2.

Step-by-step explanation:

circumference of the base = 88 cm.

r = 88 x 7/2 x 44

r = 14 cm.

T.s.a = 2π r(r+h)

6512= 2 x 22/7 x 14(14+h)

6512= 88(14+h)

6512= 1232+88h

6512-1232=88h

5280 = 88h

h = 5280/88

h = 60 cm

∴The height of the cylinder=60 cm

volume of cylinder = π x r^2 x h

= 22/7 x (14)^2 x 60

= 22/7 x 196 x 60

= 36960 cm^2

∴ 36960 cm^2