need answers fast please

The figure is made up of 2 hemispheres and a cylinder.

What is the volume of this figure?



126π

in.³


378π

in.³


396π

in.³


648π

in.³

need answers fast please The figure is made up of 2 hemispheres and a cylinder. What is the volume of this figure? 126π in. 378π in. 396π in. 648π in. class=

Verified Answer :

We halve the diameter of 6 to get a radius of 3, and are given a height of 10. As we have two hemispheres, we can combine them into one sphere, so we would take the volume of a sphere with r=3 and add it to the volume of a cylinder with r=3 and h=10. Volume of a sphere is (4/3)pir^3 and volume of a cylinder is pir^2h. Plugging in our values and adding, we get \(V= \frac{4}{3} 3^3 \pi +3^2*10 \pi =36 \pi +90 \pi =126 \pi\). This makes your answer 126pi inches, which is roughly 395.841 inches.