# Moderate Geometry & Mensuration Solved QuestionAptitude Discussion

 Q. A solid wooden toy is in the shape of a right circular cone mounted on a hemisphere. If the radius of the hemisphere is 4.2 cm and the total height of the toy is 10.2 cm, find the volume of the wooden toy.
 ✖ A. 104.22 cm$^3$ ✖ B. 162.08 cm$^3$ ✖ C. 427.56 cm$^3$ ✔ D. 266.11 cm$^3$

Solution:
Option(D) is correct

Volume of the cone is given by

$=\dfrac{1}{3}\times \pi r^2 h$

Here $r=4.2$ cm, $h=10.2-r=6$ cm

Therefore, the volume of the cone

$=\dfrac{1}{3}\pi\times 4.2^2\times 6$

$=110.88\text{ cm}^3$

Volume of the hemisphere

$=\dfrac{1}{2}\times \dfrac{4}{3}\pi r^3$

$=155.23$

Total volume

$=110.88+155.232$

$=266.112$

## (1) Comment(s)

Swapnil
()

Quadrilateral ABCD is circumscribed about a circle. If the length of AB, BC, CD are 7cm, 8.5 cm and 9.2cm respectively, then the length (in cm) of DA is