A cone has a radius of 4 units and a height of 6 units.



Its volume is A.96 B.100.48 C. 301.44 D.401.92 cubic units.


If a cylinder has the same radius and the same height as the cone, then its volume is A.66.99 B288 C.301.44 D.904.32 cubic units.

Verified Answer :

We know, Volume of a Cylinder = πr² h/3
v = 3.14 4² 6/3
v = 3.14 16 2
v = 100.48 

In short, Your Answer would be Option B

Hope this helps!

Answer:

\(\text{Volume of cone }=100.48\text{ cubic unit}\)

B is correct

\(\text{Volume of cylinder }=301.44\text{ cubic unit}\)

C is correct

Step-by-step explanation:

A cone has a radius of 4 units and a height of 6 units.

Formula:

\(\text{Volume of cone }=\dfrac{1}{3}\pi r^2h\)

Where, r=4 and h=6

\(\text{Volume of cone }=\dfrac{1}{3}\pi \cdot 4^2\cdot 6\)

                                    \(=100.48\text{ cubic unit}\)

If a cylinder has the same radius and the same height as the cone.

Formula:

\(\text{Volume of cylinder }=\pi r^2h\)

Where, r=4 and h=6

\(\text{Volume of cylinder }=\pi \cdot 4^2\cdot 6\)

                                    \(=301.44\text{ cubic unit}\)