To calculate the volume of the figure, we need to find the volume of the cylinder and the volume of the cone separately, and then add them together.
Volume of Cylinder:
Vcylinder = πr^2h
Vcylinder = π(2.5)^2(3)
Vcylinder = 18.75π cm^3
Volume of Cone:
Vcone = (1/3)πr^2h
Vcone = (1/3)π(2.5)^2(5)
Vcone = 10.42π cm^3
Total Volume:
Vtotal = Vcylinder + Vcone
Vtotal = 18.75π + 10.42π
Vtotal = 29.17π cm^3
Vtotal ≈ 91.6 cm^3
Therefore, the correct answer is approximately 94 cm^3, option A.
What is the volume of the figure?
3 cm
5 cm
Question content area bottom
Part 1
A.
V = 94 cmcubed
B.
V = 141.4 cmcubed
C.
V = 47.1 cmcubed
D.
V = 15.7 cmcubed
1 answer
1 answer