Question

Question 20 If this dog bowl is made from a solid cylinder with a hole in the shape of a hemisphere cut out for water, how much plastic is needed to create the bowl? [G-GMD-3) The radius of the cylinder is 5 units the radius of the hemisphere is 3 units, and the height of the bowl is 5 units. O 3561 units O 107 1 units O 1251 units O 1191 units?

Answer 1

Radius of the cylinder r = 5 units

Height h = 5 units

Therefore,

Volume of the cylinder

= $\pi r^2h$

= $\pi (5)^2(5)$

= $125\pi\, units^3$

Radius of the hemisphere r = 3 units

Volume of the hemisphere

= $(2/3)\pi r^3$

= $(2/3)\pi (3)^3$

= $18\pi\, units^3$

Therefore,

Plastic needed to create the bowl

= Volume of the cylinder - Volume of the hemisphere

= $125\pi - 18\pi$

= $107\pi\, units^3$