The volume of the cone is 209.3 cubic inches. Find the diameter. Round your answer to the nearest whole number.
1 answer:
The image of the cone is missing, so i have attached it.
Answer:
Diameter ≈ 10 inches
Step-by-step explanation:
The volume of a cone is given the formula;
V = ⅓ × π × r² × h
Where;
V is volume
r is radius
h is height
From the image, height, h = 8 inches
We are given V = 209.3
Thus, plugging in the values of h and V, we have;
209.3 = ⅓ × π × r² × 8
r² = (209.3 × 3)/(8 × π)
r² = 24.983
r = √24.983
r = 4.99
We know that diameter = 2 x radius
Diameter = 2 × 4.99
Diameter = 9.98 inches
Approximating to a whole number, we have, Diameter ≈ 10 inches
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Step-by-step explanation:
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