the height of a cone is 15 CM the volume of the cone is 500 cubic CM find the radius of the base
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the height of a cone is 15 CM the volume of the cone is 500 cubic CM find the radius of the
the height of a cone is 15 CM the volume of the cone is 500 cubic CM find the radius of the base
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Verified answer
answer:
5.63
Step-by-step explanation:
we got the volume of the cone as 500 cubic Cm
so,
v-1/3πr²h
500-1/3x22/7xr²x15
500-110/7xr²
r-√31.8
r-5.63
this is my answer if this satisfy you please mark me as brainlist.
Answer :
[tex]\large \implies \mathbb{ r = 10 cm}[/tex]
Solution :
Given :
To Find :
Lets solve ,
[tex] \large \bigstar \boxed{\tt Volume \; of \: the \: cone = \frac{1}{3}\pi r^2 h} [/tex]
Putting the values ,
[tex]\implies 500\pi = \frac{1}{3}\: \pi \: r^2 \: 15 \\ \\ \sf \implies 500 \pi= \frac{1}{\cancel{3}} \: \pi \: r^2 \: \cancel{3}×5 \\ \\ \implies \sf 500\cancel{\pi} = r^2 \: \cancel{\pi} \: 5 \\ \\ \sf \implies r^2 = \frac{500}{5} \\ \\ \sf \implies r^2 = 100 \\ \\ \implies \underline{\boxed{\mathbb r = 10cm}}[/tex]
Therefore,
Radius of the base of circle is 10 cm.