Question

The volume of a solid cylinder is 1584cm3

and its height is 14cm. Find its radius and

total surface area.​

Answer 1

Step-by-step explanation:

The volume of a solid cylinder = 1584cm^3

Height = 14cm

The volume of a solid cylinder = πr^2h

1584cm^3 = 22/7 x r^2 x 14cm

(1584cm^3 x 7)/(22 x 14cm) = r^2

36cm^2 = r^2

√36cm^2 = √r^2

√6cm x 6cm = √r x r

6cm = r

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

= 2 x 22/7 x 6cm(6cm + 14cm)

= 22/7 x 12cm x 20cm

= 3.14 x 240cm^2

= 754.285cm^2