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:
\(V = \frac{1}{3} \pi r^2h\) ......[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:
\(\text{Volume of a cylinder} = \pi r^2h\)
⇒\(32.25 = 3.14 \cdot r^2h\)
Divide both side by 3.14 we have;
\(10.27 =(r')^2(h')\)
\(r
o(r')^2(h)= 10.27\)
It is also given that a cone has the same height and radius as the cylinder.
⇒\(r' = r\) and \(h' = h\)
⇒\(r^2h = 10.27\)
Using formula [1] we have;
\(V = \frac{1}{3} \cdot 3.14 \cdot 10.27\)
Simplify:
\(V = 10.75\) cubic inches
therefore, volume of a cone is, 10.75 cubic inches
