If the volume of a Cylinder is 30cm³,
then what is the volume of a cone having the same radius and same height
Answers
Answer:
The volume of the cylinder would be 90 cm³
Step-by-step explanation:
Since, the volume of the cone,
A=\frac{1}{3}\pi r^2 hA=
3
1
πr
2
h
Where,
r = radius,
h = height,
While, the volume of a cylinder,
A'=\pi r^2 hA
′
=πr
2
h
if A = 30 cm³
\frac{1}{3}\pi r^2 h = 30
3
1
πr
2
h=30
\pi r^2 h = 3\times 30πr
2
h=3×30
A' = 90\text{ cubic cm}A
′
=90 cubic cm
Hence, the volume of the cylinder would be 90 cm³
#Learn more :
Find volume of cone :
https://brainly.in/question/6481853
Find volume of cylinder :
https://brainly.in/question/8636473
Answer:
10cm³
Step-by-step explanation:
volume of cylinder = πr²h
=30
volume of cone=⅓×πr²h
=⅓×30 (30/3=10)
=1×10
=10cm³