Answer: The approximate volume of the composite figure made of a cylinder and a hemisphere is 170 in.³
Solution:
Volumen of the composite figure: V=?
V=Vc+Vh
1. Volume of the cylinder: Vc
Vc=∏r^2h
Radius of the cylinder: r
Height of the cylinder: h=7 in
Diameter of the cylinder: d=5 in
r=d/2
Replacing d by 5 in in the formula above:
r=(5 in)/2
r=2.5 in
Replacing ∏ by 3.14, r by 2.5 in, and h by 7 in, in the formula of Vc:
Vc=∏r^2h
Vc=3.14(2.5 in)^2(7 in)
Vc=3.14(6.25 in^2)(7 in)
Vc= 137.375 in³
2. Volume of the hemisphere: Vh
Vh=(4∏/6)r^3
Radius of the hemisphere = Radius of the cylinder: r=2.5 in
Replacing ∏ by 3.14, and r by 2.5 in, in the formula of Vh:
Vh=(4(3.14)/6)(2.5 in)^3
Vh=(2.093)(15.625 in³)
Vh=32.708 in³
Then the volume of the composite figure is:
V=Vc+Vh
Replacing Vc by 137.375 in³ and Vh by 32.708 in³ in the formula above:
V=137.375 in³ + 32.708 in³
V=170.083 in³
Rounding to the nearest whole number:
V=170 in³