What is the diameter of a sphere with a volume of
1 answer:
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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