Question

The volume of a right circular cone that has a height of 13 m and a base with a diameter of 3.4 m. Round your answer to the nearest tenth of a cubic meter.

Answer 1

Answer:

The volume of right circular cone having height = $13 \ m$ and Diameter =   $3.4 \ m$ is $39.4\ cubic\ meter$.

Step-by-step explanation:

Diagram of the given scenario is shown below.

Given that

Height of a right circular cone is $13 \ m$.

Diameter of the right circular cone is $3.4 \ m$.

To find: The volume of a right circular cone.

So,  From the question,

                                       $Height = \ 13 \ m\\diameter = 3.4\ m$

                                       $Radius = \frac{diameter}{2}= \frac{3.4}{2}$

 ⇒                                  $Radius = 1.7\ m$

Now

    Volume of right circular cone = $\frac{1}{3}\pi r^{2}h$

                                                      $=\frac{1}{3}\times\frac{22}{7} \times (1.7)^{2}\times 13$

                                                      =   $\frac{826.54}{21}$

                                                      $= 39.4\ cubic\ meter$.

Therefore,

The volume of right circular cone having height = $13 \ m$ and Diameter =   $3.4 \ m$ is $39.4\ cubic\ meter$.