Question

If a water filled rectangular water tank that has dimensions $100$ centimeters, $20$ centimeters, and $40$ centimeters is to be evacuated using a right cylindrical bucket with a base radius of $9$ centimeters and a height of $20$ centimeters, approximately how many buckets of water will it take to evacuate the tank?

• A. $14$
• B. $16$
• C. $18$
• D. $20$

Answer 1

Answer: (B)

$16$

Dimensions of rectangular water tank are $100,20,40$ cms, radius $=9$ cm, height $=20$ cm

$\therefore$ volume of water is $100\times 20\times 40=80000$

And volume of cylindrical bucket is $20\times \frac{22}{7}\times 9^2=5091.5$

Number of buckets needed will be $\frac{80000}{5091.5}=15.7$

So, we need $16$ buckets.