The volume of a sphere is 2145 11/21 cm³. Its radius is equal to · ABC26GN4991
Subject: General Aptitude · Chapter: Volume and Surface Area · Exam: R.R.B. 2008
The volume of a sphere is $2145 \frac{11}{21} \mathrm{cm}^{3}$. Its radius is equal to
(a)7 cm
(b)8 cm
(c)9 cm
(d)None of these
Answer
Explanation
$$\begin{aligned} \frac{4}{3} \times \frac{22}{7} \times r^{3}=\frac{45056}{21} & \Rightarrow r^{3}=\left(\frac{45056}{21} \times \frac{3}{4} \times \frac{7}{22}\right)=512 \\ & \Rightarrow r=\sqrt[3]{512}=8 \mathrm{cm} \end{aligned}$$
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