Question

Isha is 10 years old girl. On the result day, Isha and her father Suresh were very happy
as she got first position in the class. While coming back to their home, Isha asked for a
treat from her father as a reward for her success. They went to a juice shop and asked
for two glasses of juice.
Aisha, a juice seller, was serving juice to her customers in two types of glasses.
Both the glasses had inner radius 3cm. The height of both the glasses was 10cm.
First type: A Glass with hemispherical raised bottom.
Second type: A glass with conical raised bottom of height 1.5 cm.
Isha insisted to have the juice in first type of glass and her father decided to have the
juice in second type of glass. Out of the two, Isha or her father Suresh, who got more
quantity of juice to drink and by how much?

Answer 1

refer to the attachment

Answer 2

• Volume of the jucie of glass

              = $\pi (3)^{2} X 10 -\frac{2}{3 } \pi (3)^{3}$

              $= 90\pi -18\pi$

             $=72\pi cm^{3}$

• Volume of the juice in first type of glass

            $=\pi (3)^{2}$× $10$ $-\frac{1}{3} \pi (3)^{2} (15)$

            $=90\pi -45\pi$

           $=85.5\pi cm^{2}$

• Clearly second one contains the more juice

               $=85.5\pi -72\pi$

              $=13.5\pi cm^{3}$