ABC26GN4967 · Volume and Surface Area
Subject: General Aptitude · Chapter: Volume and Surface Area · Exam: · Marks: · Difficulty:
A cone of height 7 cm and base radius 3 cm is carved from a rectangular block of wood 10 cm × 5 cm × 2 cm . The percentage of wood wasted is
(a)34\%
(b)46\%
(c)54\%
(d)66\%
Answer
Explanation
Volume of the block $=(10 \times 5 \times 2) \mathrm{cm}^{3}=100 \mathrm{cm}^{3}$. Volume of the cone carved out = $$\left(\frac{1}{3} \times \frac{22}{7} \times 3 \times 3 \times 7\right) \mathrm{cm}^{3}=66 \mathrm{cm}^{3} .$$ ∴ Wood wasted $=(100-66) \%=34 \%$.
Open in whiteboard · Browse this chapter in the app