Question

State whether true or false:

$\log V=2\log 2-\log 3+\log \pi +3\log r$ gives $V=\frac{4}{3}\pi r^3$

• A. True
• B. False

Answer 1

The correct option is A True

$\log V=2\log 2-\log 3+\log \pi +3\log r$
$\therefore \log V=\log 2^2-\log 3+\log \pi +\log r$....($\log a^b=b\log a$)
$\therefore \log V=\log \frac{4}{3}\pi r^3$.....($\log a.b=\log a+\log b,\log \frac{a}{b}=\log a-\log b$)
$\therefore V=\frac{4}{3}\pi r^3$