Mathematics: Can you please help it’s hard!

Can you please help it’s hard! - id13592952, hsernaykaw42

Anisanene

29.09.2020

50% change in volume

Step-by-step explanation:

This problem bothers on the mensuration of solid shapes.

In this problem we are to find the volume of the first cylinder and compare with the second cylinder.

Given data

Volume v = ?

Diameter d= ?

Radius r = 10 in

Height h= 5 in

we know that the volume of a cylinder is expressed as

$volume = \pi r^{2}h$

Substituting our given data we have

$volume = \pi*10^{2}*5\\ volume= \pi *100*5\\volume= 500\pi in^{3} \\$

The first cylinder as a volume of $500\pi$

The change in volume is $750\pi - 500\pi = 250\pi$

percentage = $\frac{250\pi }{500\pi } *100$

percentage= 0.5*100= 50 %

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