ABC26GN5014 · Volume and Surface Area
Subject: General Aptitude · Chapter: Volume and Surface Area · Exam: 2009 · Marks: · Difficulty:
How many lead shots each 3 mm in diameter can be made from a cuboid of dimensions 9 cm × 11 cm $\times 12 \mathrm{cm}$ ?
(a)7200
(b)8400
(c)72000
(d)84000
Answer
Explanation
Volume of each lead shot = $$\begin{aligned} & {\left[\frac{4}{3} \pi \times\left(\frac{0.3}{2}\right)^{3}\right] \mathrm{cm}^{3}=\left(\frac{4}{3} \times \frac{22}{7} \times \frac{27}{8000}\right) \mathrm{cm}^{3}=\frac{99}{7000} \mathrm{cm}^{3} .} \\ & \therefore \text { Number of lead shots }=\left(9 \times 11 \times 12 \times \frac{7000}{99}\right)=84000 . \end{aligned}$$
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