Question

The volume of a right circular cone of height 12cm and base radius 6 cm is...
a) 12πcm3
B) 36πcm3
c)144πcm2
D) 144πcm3

Answer 1

Answer:

Step-by-step explanation

The formula of the volume of a cone is 1/3*pi*r^2*h

Substituting the values given in the question - 1/3*pi*6*6*12

= 1/3*pi*36*12

=pi*12*12 (1/3*36 = 12)

So the final answer is 144*pi cc

So the option is c)

Answer 2

Answer:

The volume of the right circular cone is equal to 144πcm³.

Step by step explanation:

Given that:

The height of the cone (r) = 12cm

The radius of the base (h) = 6cm

We know the volume of the right circular cone  $V=\frac{1}{3}\pi r^{2}h$

Fill the values in the above formula:

      ∴        $V=\frac{1}{3}\pi (6)^{2}(12) cm^{3}\\\\ V=\frac{432}{3}cm^{3}\\ \\ V=144\pi cm^{3}$

Therefore the option D is correct.