Question

Radius of cylinder = 5 cm

radius of cone = 4 cm
A cylinder has a height of 16 cm and a radius of 5 cm A cone has a height of 12 cm and a radius of 4 cm. If the cone is placed inside the cylinder as
shown what is the volume of the air space surrounding the cone inside the cylinder (Use 3.14 as an approximation of pi)
A
B.
452 16 cm
340.54 cm
C
1055 04 cm
D.
1456 96 cm
Signo

Answer 1

C)1055.04cm^3

Explanation:

(picture explains)

Answer 2

C 1055 04 cm

Explanation:

We don't need to see the figure, since we know for sure the cone fits into the cylinder (smaller diameter and height).

So, we first need to calculate the volume of the cylinder, which is given by the formula:

VT = π * r² * h

VT = 3.14 * 5² * 16 = 3.14 * 400 = 1,256 cubic cm

Then we calculate the volume of the cone, which is given by:

VC = (π * r² * h)/3

VC = (3.14 * 4² * 12)/3 = (3.14 * 192)/3 = 200.96 cu cm

Then we calculate the void space left inside the cylinder by subtracting the volume of the cone from the volume of the cylinder:

NV = VT - VC = 1,256 - 200.96 = 1,055.04 cu cm