Question

need help asappppppp

Answer 1

a.

Consider that the volume (V) of a cone with radius 'R' and height 'H' is given by,

$V=\frac{1}{3}\pi R^2H$

Substitute the values,

$\begin{gathered} V=\frac{1}{3}\pi(4)^2(3) \\ V=16\pi \end{gathered}$

Therefore, option b is the correct choice.

b.

Consider that the volume (V') of a cylinder with radius 'R' and height 'H' is given by,

$V^{\prime}=\pi R^2H$

Solve for the ratio of volume of cone to that of cylinder as,

$\frac{V}{V^{\prime}}=\frac{(\frac{1}{3}\pi R^2H)}{(\pi R^2H)}=\frac{1}{3}$

Therefore, option c is the correct choice.