A bucket in the form of a frustum of a cone of height $30$ cm with radii of its lower and upper ends as $10$ cm and $20$ cm respectively. Find the capacity of the bucket. Also find the total cost of m

Question

A bucket in the form of a frustum of a cone of height $30$ cm with radii of its lower and upper ends as $10$ cm and $20$ cm respectively. Find the capacity of the bucket. Also find the total cost of milk that can completely fill the bucket at the rate of Rs. $40$ per litre. $\left(	ext{Use } \pi = \frac{22}{7}ight)$

Accepted Answer

Step 1: Capacity of bucket $= \frac{1}{3} 	imes \frac{22}{7} 	imes 30(10^2 + 20^2 + 10 	imes 20)$ cm$^3$
Step 2: $= \frac{1}{3} 	imes \frac{22}{7} 	imes 30(100 + 400 + 200) = 22000$ cm$^3$
Step 3: $= 22\ell$
Cost of milk $= 40 	imes 22 =$ Rs. $880$

Question

Solution