What is the diameter of a sphere with a volume of

Mathematics

1 answer:

Rudiy274 years ago

8 0

Answer:

5.3 cm

Step-by-step explanation:

Given;

Volume of sphere V = 79cm^3

The volume of a sphere can be expressed as a function of its radius as;

V = (4/3)πr^3 .....1

Where r = radius

And we know that;

Radius = Diameter/2

r = d/2

Substituting into equation 1

V = (4/3)π(d/2)^3

V = (4/3)πd^3 × 1/8

V = (1/6)πd^3

Since the volume is given as 79 cm^3

79 = (1/6)πd^3

d^3 = 79×6/π

d = (79×6/π)^(1/3)

d = 5.323649930553 cm

Diameter d = 5.3 cm

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