Question

Which of these two shapes has a larger volume?

• A. $1^{st}$
• B. $2^{nd}$
• C. $Equalvolume$
• D. Can't be determined

Answer 1

The correct option is A $1^{st}$

Volume $=\pi r^{2}h$

$=\pi (\frac{10}{2}{)}^2\times 5$

$=125\pi c{m}^3$

volume $=\pi r^{2}h$

$=\pi (\frac{5}{2}{)}^2\times 10$

$=\frac{125\pi }{2}c{m}^3$

$\therefore$ volume of A $>$ volume of B

difference $=125\pi \frac{-125\pi }{2}=\frac{125\pi }{2}c{m}^3$