If a spear and a cylinder have the same volume and the same denominator 18 cm what is the height of the cylinder

Question

I need help with this question please

Answer 1

You meant "sphere" rather than "spear".  You meant "diameter" rather than "denominator".

 

Volume of sphere = (4/3)πr³

Volume of cylinder = πr²h

 

where:

r = radius

h = height

 

Set the volumes equal to each other.

 

(4/3)πr³ = πr²h

 

 

Note that the diameter is twice the radius.  If they have the same diameter, then they have the same radius.

 

(4/3)πr³ / πr² = h

 

(4/3)r = h

 

(4/3)(d/2) = h

 

(2/3)d = h

 

(2/3)(18) = h

 

12 = h

 

The height of the cylinder is 12 cm.