What is the volume of a solid cylinder of diameter 7cm and height 7cm? (Take \(\pi = \frac{22}{7}\))
A
38.5cm3
B
77cm3
C
269.5cm3
D
1078cm3
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
Volume of a solid cylinder = Base area x height
Base area \(=\pi r^2\) =\(\frac{22}{7} \times \frac{7}{2}\times \frac{7}{2}\) = \(\frac{77}{2}\)
Volume of a solid cylinder = \(\frac{77}{2}\times \frac{7}{1}\) = \(\frac{539}{2}cm^3\)
=269.5cm\(^3\)
Source: Myschool Past Questions Archive (Record #26642)