Find the volume of the largest right circular cone that can be cut out from a cube whose edge is 9 cm. · ABC26GN4966
Subject: General Aptitude · Chapter: Volume and Surface Area
Find the volume of the largest right circular cone that can be cut out from a cube whose edge is 9 cm.
(a)$170.93 \mathrm{cm}^{3}$
(b)$180.93 \mathrm{cm}^{3}$
(c)$190.93 \mathrm{cm}^{3}$
(d)$200.93 \mathrm{cm}^{3}$
Answer
Answer (as printed): C
Explanation
Volume of the largest cone = Volume of the cone with diameter of base 9 cm and height 9 cm. $$=\left(\frac{1}{3} \times \frac{22}{7} \times 4.5 \times 4.5 \times 9\right) \mathrm{cm}^{3}=\left(\frac{1336.5}{7}\right) \mathrm{cm}^{3}=190.93 \mathrm{cm}^{3}$$