Question

the volume of a right circular cylinder is a 1100 cm cube and the radius of its base is 5 cm find it curved surface area

Answer 1

πr^h=1100
h=44/π
c.s.a=2πrh
2×π×5×44/π
440cm^3

Answer 2

Answer:

Curved surface area of the cylinder is 439.6 cm² .

Step-by-step explanation:

Formula

$Volume\ of\ a\ cylinder =\pi r^{2} h$

$Curved\ surface\ area\ of\ a\ cylinder =2\pi r h$

Where r is the radius and h is the height .

As given

The volume of a right circular cylinder is a 1100 cm cube and the radius of its base is 5 cm .

1100 = 3.14 × 5 × 5 × h

$h = \frac{1100}{78.5}$

h = 14cm (Approx)

$Curved\ surface\ area\ of\ a\ cylinder =2\times 3.14\times 5\times 14$

                                                                     = 439.6 cm²

Therefore the curved surface area of the cylinder is 439.6 cm² .