Multiple choice

A cylindrical tank has base radius $7$ m and height $9$ m. If $\dfrac{2}{3}$ of the tank is filled with water find the volume of water In the tank. [ Use $\pi =\cfrac {22}{7}$]

  1. $1386$ cu m
  2. $462$ cu m
  3. $824$ cu m
  4. $924$ cu m
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The volume of a cylinder is pi * r^2 * h. With r=7 and h=9, the volume is (22/7) * 49 * 9 = 1386. Two-thirds of this volume is (2/3) * 1386 = 924.

AI explanation

First find the total volume of the cylinder using the formula pi times radius squared times height. Using the given values, the volume is 22/7 times 7 squared times 9, which equals 1386 cubic meters. To find the water volume, multiply this by 2/3 to get 924 cubic meters.