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kap26 [50]
3 years ago
9

The volume of the cone is 209.3 cubic inches. Find the diameter. Round your answer to the nearest whole number.

Mathematics
1 answer:
BabaBlast [244]3 years ago
4 0

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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