Oblique Cone
The volume of the oblique cone is 144.49 cubic inches , if an oblique cone has a radius of 4 units, a height of 8.5 units, and a slant length of 11.7 inches.
Step-by-step explanation:
An oblique cone has a radius of 4 units
A height of 8.5 units
A slant length of 11.7 inches
We have to use the slant height to calculate actual base
So in a right angle triangle when two sides are given the third side is calculated by
Root (sqr(11,7) - sqr(8.5)) = 8.03 units
[tex]\sqrt{11.7^{2} - 8.5^{2} }[/tex]
⇒ 8.03 units
Formula to calculate the volume of oblique cone,......................(1)
V = [tex]\frac{1}{3} bh[/tex]
If r is the distance of the base of the height from the center of the circle [ this is because the base of the height is outside the oblique cone]
V = [tex]\frac{1}{3} \pi r^{2} h[/tex]
Where r is the distance if the base of the height from the center of the circle [ this is because the base of the height is outside the oblique cone]
Here r = 8.03 - 4 = 4.03 units
Volume = [tex]\frac{1}{3}[/tex]× 3.14 × 4.03 × 4.03 × 8.5
Volume = 144.49 cubic inches
Hence, the volume of the oblique cone is 144.49 cubic inches , if an oblique cone has a radius of 4 units, a height of 8.5 units, and a slant length of 11.7 inches.
