Answer:
D. 100.5 in³
Explanation:
We know that:
Volume of obligue cone = ⅓*area of base* height
Here
slant t=10in
height =6 in
Let's find the radius:
By using Pythagorous theorem,
slight height²=diameter²+height²
substituting value
10²=diameter²+6²
diameter²=10²-6²
diameter²=64
diameter=
=8 in
Therefore, Radius= diameter/2=8/2=4 in
Now
Area of Base= πr²=π*4²=50.265
Now
Volume = ⅓*area of base*height =⅓*50.265*6=100.53 in³
So,
Volume of obligue cone is 100.5 in³