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

Question

asked Aug 25, 2023 170k views

1 Answer

Meiryo · Answer 1 · 2023-08-29T22:11:47+0000

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

$V=343\pi cm^2$