SOLUTION: A dentist places a gold filling in the shape of a cylinder with a hemispherical top in a patient's tooth. The radius of the filling is 3 mm. The height of the cylindrical portion i

Question 37171: A dentist places a gold filling in the shape of a cylinder with a hemispherical top in a patient's tooth. The radius of the filling is 3 mm. The height of the cylindrical portion is 4 mm. If dental gold costs $16.00 per cubic millimeter, how much did the gold for the filling cost? Round to the nearest cent. Use π ≈ 3.14.
Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
We will calculate the volumes of the cylinder and hemisphere separately, then add them.
V(cyl) = (pi)r^2h = (pi)(3^2)(4) = 36(pi)
V(hemi) = .5(4/3)(pi)r^3 = .5(4/3)(pi)(3^3) = 18(pi)
Total volume is 54(pi) = 169.56 cubic mm
Now multiply by $16 per cubic mm and the answer is
169.56 x 16 = $2712.96
And you wanted a gold filling! Yikes!
RELATED QUESTIONS
A dentist places a gold filling in the shape of a cylinder with a hemispherical top in a... (answered by ankor@dixie-net.com)

what is the capacity of a container which is in the form of a cylinder of radius 3cm and... (answered by Alan3354)

My question goes thus sir; what is the capacity of a container which is in the form of a... (answered by fractalier)

for a scietific experiment, Tony needs a glass bell jar in the shape of a cylinder with a (answered by lwsshak3)

Dr. T K Duncan at Melrose Dental performed dental procedures that "doesn't meet the... (answered by tutorcecilia)

Maths question help 5. Derive a formula for finding the Surface Area as a function of... (answered by richard1234)

A conical cup is filled with icecream .The icecream forms a hemispherical shape on its... (answered by josgarithmetic,KMST)

find the volume of a cone with a hemispherical top if the D=12m and the... (answered by Fombitz)

A storage silo that is in the shape of a cylinder has a diameter of 30 feet and a... (answered by Alan3354)