Answer:
option 2nd is correct
volume of a cone is, 10.75 cubic inches
Step-by-step explanation:
Volume of a cone (V) is given by:
[tex]V = \frac{1}{3} \pi r^2h[/tex] ......[1]
where,
r is the radius of the cone and h is the height of the cone respectively.
As per the statement:
The volume of a cylinder is 32.25 cubic inches.
Volume of a cylinder is given by:
[tex]\text{Volume of a cylinder} = \pi r^2h[/tex]
⇒[tex]32.25 = 3.14 \cdot r^2h[/tex]
Divide both side by 3.14 we have;
[tex]10.27 =(r')^2(h')[/tex]
[tex]r
o(r')^2(h)= 10.27[/tex]
It is also given that a cone has the same height and radius as the cylinder.
⇒[tex]r' = r[/tex] and [tex]h' = h[/tex]
⇒[tex]r^2h = 10.27[/tex]
Using formula [1] we have;
[tex]V = \frac{1}{3} \cdot 3.14 \cdot 10.27[/tex]
Simplify:
[tex]V = 10.75[/tex] cubic inches
therefore, volume of a cone is, 10.75 cubic inches
