Respuesta :
Answer:
The radius of the sphere is 27 inches
Step-by-step explanation:
To find the radius of the sphere with a volume of 26,244π cubic inches, we will follow steps below;
First write down the formula for the volume of the sphere
v=[tex]\frac{4}{3}[/tex]πr³
where v is the volume of the sphere and r is the radius of the sphere
From the question given, volume v =26,244π .
Substitute the value into the formula and solve for r
v=[tex]\frac{4}{3}[/tex]πr³
26244π = [tex]\frac{4}{3}[/tex]πr³
π at the left-hand side will cancel-out π at the right-hand side
26244 = [tex]\frac{4}{3}[/tex]r³
Multiply both-side of the equation by [tex]\frac{3}{4}[/tex]
26244 × [tex]\frac{3}{4}[/tex] = [tex]\frac{3}{4}[/tex]× [tex]\frac{4}{3}[/tex]r³
At the right-hand side of the equation, [tex]\frac{3}{4}[/tex] will cancel-out [tex]\frac{4}{3}[/tex] leaving us with just r³
26244 × [tex]\frac{3}{4}[/tex] = r³
19683 =r³
Take the cube root of both-side of the equation
∛19683 =∛r³
27 = r
r= 27 inches
The radius of the sphere is 27 inches
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