To find the diameter of a cone with a height of 10 inches and a radius of 4 inches, we first need to calculate the slant height of the cone using the Pythagorean theorem.
The slant height (l) of a cone can be calculated using the formula:
l = sqrt(r^2 + h^2)
Where r is the radius and h is the height of the cone.
Substitute r = 4 and h = 10 into the formula:
l = sqrt(4^2 + 10^2)
l = sqrt(16 + 100)
l = sqrt(116)
l ≈ 10.77 inches
Now, to find the diameter (d) of the cone, we can use the formula:
d = 2r + 2l
Substitute r = 4 and l ≈ 10.77 into the formula:
d = 2*4 + 2*10.77
d = 8 + 21.54
d ≈ 29.54 inches
Therefore, the diameter of the cone is approximately 29.54 inches.
diameter of cone with hight of 10 in and radias of 4
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