The dimension of a rectangular tank are 2m by 7m by 11m. If its volume is equal to that of a cylindrical tank of height 4cm, calculate the base radius of the cylindrical tank. [Take (pi = frac{22}{7})]
-
A.
14cm -
B.
7m -
C.
3(frac{1}{2})m -
D.
1(frac{3}{4})m
Correct Answer: Option C
Explanation
Volume of rectangular tank = L x B x H
= 2 x 7 x 11
= 154cm3
volume of cylindrical tank = (pi r^2h)
154 = (frac{22}{7} times r^2 times 4)
r2 = (frac{154 times 7}{22 times 4})
= (frac{49}{4})
r = (sqrt{frac{49}{4}} = frac{7}{2})
= 3(frac{1}{2})m