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20.04.2020 •
Mathematics
Find the radius r of the sphere.
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Ответ:
21 inches
Step-by-step explanation:
The volume of a sphere is given by
V = 4/3 pi r^3
We know the volume
12348 pi = 4/3 pi r^3
Divide each side by pi
12348 pi/pi = 4/3 pi r^3 /pi
12348 = 4/3 r^3
Multiply each side by 3/4
12348 *3/4 = 4/3*3/4 r^3
9261 = r^3
Take the cubed root of each side
9261^ (1/3 ) = r^3 ^1/3
21 =r
Ответ:
Given:
The volume of the sphere = 12348π in³
To find the radius of the sphere.
Formula
The volume of a sphere of radius r is
According to the problem,
Eliminating π from both the side.
or,![\frac{4}{3} r^{3}= 12348](/tpl/images/0611/7256/9489a.png)
or,![r^{3}=\frac{(12348)(3)}{4}](/tpl/images/0611/7256/48bd7.png)
or,![r^{3}=9641](/tpl/images/0611/7256/3a963.png)
or,![r=\sqrt[3]{9261}](/tpl/images/0611/7256/78223.png)
or,![r=21](/tpl/images/0611/7256/8a7d2.png)
Hence,
The radius of the sphere is 21 inches.
Ответ:
20
Step-by-step explanation:24 divided by 6 is 3 , 4x5 is 20