Question

The slant height of a bucket is 45 cm and the radii of its top and bottom are 28 cm and 7 cm respectively. The curved surface area of the bucket is

(a) 4953 $c{m}^2$ (b) 4952 $c{m}^2$ (c) 4951 $c{m}^2$ (d) 4950 $c{m}^2$

Answer 1

(d) 4950 $c{m}^2$ correct option.

Slant Height (L) = 45 cm

Radius of the top of the bucket (R) = 28 cm

Radius of the bottom of the bucket (r) = 7 cm

Therefore,

CSA of the bucket = $\pi L(R+r)=\frac{22}{7}\times 45(28+7)=\frac{22}{7}\times 45\times 35$

$\to 22\times 45\times \frac{35}{7}=\frac{34650}{7}=4950c{m}^2$