Question

Consider the statement $p$ : If a cylinder is right circular cylinder then its volume is $\frac{1}{3}\pi r^{2}h.$

Contrapositive of the statement $p$ is

• A. If the volume of a cylinder is $\frac{1}{3}\pi r^{2}h$ then it is not right circular cylinder
• B. If the volume of a cylinder is not $\frac{1}{3}\pi r^{2}h$ then it is not right circular cylinder
• C. If a cylinder is not right circular cylinder then its volume is not $\frac{1}{3}\pi r^{2}h$
• D. Volume can’t be $\frac{1}{3}\pi r^{2}h$

Answer 1

Answer: (B)

Contrapositive of $“p \rightarrow q”$ is $“\sim q \rightarrow \sim p”$
Hence, the contrapositive of the given statement is: If the volume of a cylinder is not $\frac{1}{3}\pi r^{2}h$ then it is not right circular cylinder