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

Hello I need help on this.Question: Calculate the volume of this shape. Leave your-example-1
User Kermia
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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

Hello I need help on this.Question: Calculate the volume of this shape. Leave your-example-1
User Meiryo
by
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