The volume of a right circular cone is 45 cubic centimeters, and the radius of
the base is 3 centimeters. What is the height of the cone in centimeters?

Answer:

5cm

Step-by-step explanation:

Given parameters:

Volume = 45cm³

Radius  = 3cm

Unknown:

Height of the cone  = ?

Solution:

Volume of cone is given as ;

  V = [tex]\frac{1}{3} \pi[/tex] r² h

r is the radius

h is the height

      45  =  [tex]\frac{1}{3} \pi[/tex]x 3² x h

      45  = 3π x h

       h  = [tex]\frac{45}{3 x3.142}[/tex]   = 4.77cm

5cm is the closest answer choice

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