Question

Hello I need help on this.Question: Calculate the volume of this shape. Leave your answer in terms of Pi.

Answer 1

Hello there. To solve this question, we'll have to remember how to calculate the volume of a cylinder, given its height and diameter of the base.

Given the following cylinder:

Its volume can be calculated by the formula:

`V=A_b\cdot h`

in which:

`A_b=\pi\cdot(D^2)/(4)`

Is the area of the base given the diameter D

Plugging in this, we have:

`V=\pi\cdot(D^2)/(4)\cdot h`

Using the values given by the question, we have:

D = 14 cm

h = 7 cm

Therefore

`V=\pi\cdot(14^2)/(4)\cdot7`

Calculate the square and simplify the fraction

`\begin{gathered} V=\pi\cdot(196)/(4)\cdot7 \\ V=\pi\cdot49\cdot7 \end{gathered}`

Multiply the numbers

`V=343\pi cm^2`