A cone is 8.4 cm high and the radius of its base is 2.1 cm. It is melted and recast into a sphere. Find the radius of the sphere
Answers
Answer:
2.1 cm
Step-by-step explanation:
the Volume of the cone= 1/3πr²h
the Volume of the sphere= 4/3πr
let rc is the radius of cone =2.1 cm ....(Given)
let rs is the radius of cone =2.1 cm ....(Given)
h is the height of cone =8.4 cm ...(Given)
the Volume of cone = Volume of sphere ...(Given)
1/3πrc²h=4/3πrs³
rs³=9.261
rs=2.1 cm
Answer:
A cone is 8.4 cm high and the radius of its base is 2.1 cm. It is melted and recast into a sphere. The radius of the sphere is
Medium
Answer
Volume of the cone =
3
1
πr
c
2
h
Volume of the sphere =
3
4
πr
s
3
r
c
is the radius of cone =2.1 cm ....(Given)
Let r
s
be the radius of the sphere
h is the height of cone =8.4 cm ...(Given)
Volume of cone = Volume of sphere ...(Given)
⇒
3
1
πr
c
2
h=
3
4
πr
s
3
⇒
3
1
r
c
2
h=
3
4
r
s
3
⇒r
s
3
=9.261
⇒r
s
=2.1 cm
Step-by-step explanation: