Mensuration Ques 33
Question
The sum of the radius and height of a right circular cylinder is 30 metre. If the total surface area of the cylinder is 2640 metre $^{2}$, what is its volume? (in cu. metre)
(1) 9856
(2) 9772
(3) 9548
(4) 10028
(5) 9784
(IBPS RRBs Officers CWE (Prelim Exam) 09.09.2017 IInd Sitting)
Show Answer
Correct Answer: (1)
Solution: (1)
It is given,
$r+h=30$ metre
Total surface area of cylinder $=2 \pi r(r+h)$
$\therefore 2 \pi r(r+h)=2640$
$\Rightarrow 2 \times \frac{22}{7} \times r \times 30=2640$
$\Rightarrow r=\frac{2640 \times 7}{2 \times 22 \times 30}=14$ metre
$\therefore h=30-14=16$ metre
$\therefore$ Volume of cylinder $=\pi r^{2} h$
$=\left(\frac{22}{7} \times 14 \times 14 \times 16\right)$ cu. metre
$=9856 cu$. metre
BETA
