Question

In Akshita’s house there is a flower pot. The sum of radii of circular top and bottom of a flowerpot is 140 cm and the difference of their circumference is 88 cm. Find the diameter of the circular top and bottom. [4 MARKS]

Answer 1

Concept: 1 Mark
Application: 3 Marks

Diameter on top = R

Radius of bottom = r

$R+r=140cm\dots .\left(1\right)$

$2\pi R-2\pi r=88cm$

$R-r=\frac{88}{2\pi }=14\dots .\left(2\right)$

Adding (1) and (2),

$2R=154$

$R=77$

$r=140-77=63$

Thus diameter of top will be 154cm and diameter of bottom is 126cm