Using the formula of surface area to calculate the height and using the formula for volume , The answer is 24.98 [tex]cm^{3}[/tex] .
What is a cone?
A cone is a three-dimensional geometric structure with a smooth transition from a flat base—often but not always circular—to the point at the top, also known as the apex or vertex.
What is the formula to calculate the surface area and volume of cone?
The required formula are :
[tex]SA = \pi r (r + \sqrt {h^{2} + r ^ {2}})[/tex] (Surface Area)
[tex]V = \pi r^{2} \frac {h}{3}[/tex] (Volume)
radius = 3 cm
Area= 66 [tex]cm^{2}[/tex]
[tex]SA = \pi r (r + \sqrt {h^{2} + r ^ {2}})[/tex]
h = 2.65 cm
[tex]V = \pi r^{2} \frac {h}{3} = \pi * 3^{2} * \frac {2.65}{3}[/tex]
=24.98 [tex]cm^{3}[/tex]
To learn more about volumes visit:
https://brainly.com/question/13338592
