Question

A bucket in form of a frustum of a cone which is to be painted is kept upside down. Find the area (in sq.cm) to be painted. Dimensions are in cm

• A. 1474 cm²
• B. 1936 cm²
• C. 2090cm²
• D. 1956 cm²

Answer 1

The correct option is A 1474 cm²

R = 14 cm r = 7 cm l = 20 cm

The area to be painted = CSA of the bucket + area of the base (because the base is solid, this area must be included)

$=\pi (r+R)l+\pi r^2=\pi \left(\right(r+R)l+r^2)=\frac{22}{7}\times (7+14)20+7^2=\frac{22}{7}\times (420+49)=1474c{m}^2$