Question

An ice-cream seller sells his ice - creams in two ways
(A) In a cone of r = 5cm, h = 8cm with a hemispherical top.
(B) In a cup in shape of cylinder with r =5cm, h = 8cm

Answer 1

(A) Volume of ice cream$=\frac{1}{3}\pi r^{2}h=\left(\frac{\pi }{3}\right(5{)}^2\left(8\right))+\frac{2}{3}\pi r^3=\left(\frac{2\pi }{3}\right(5{)}^3)$

$=\frac{25\pi }{3}(8+10)=150\pi c{m}^3$

(B) Volume of ice cream$=\pi r^{2}h=\pi \left(5{)}^2\right(8)=25\times 8\pi$

$=200\pi c{m}^3$

$\Rightarrow$ Volume of ice cream in case (B) is more.