Question

The figure is made up of a cylinder and a cone. What is the volume of the composite figure? Use 3.14 for Pi. Round to the nearest hundredth. A cylinder and cone. Both have a radius of 3 centimeters. The cone has a height of 9 centimeters and cylinder has a height of 8 centimeters. Recall the formulas V = B h and V = one-third B h Centimeters cubed

Answer 1

Answer:

The volume of figure is 310.86 cm³

Step-by-step explanation:

First, you have to calculate the volume of cone and cylinder seperately by applying the formulas :

Cone,

$v = \frac{1}{3} \times \pi \times {r}^{2} \times h$

$let \: \pi = 3.14 \\ let \: r = 3 \\ let \: h = 9$

$v = \frac{1}{3} \times 3.14 \times {3}^{2} \times 9$

$v = 84.78 \: {cm}^{3}$

Cylinder,

$v = \pi \times {r}^{2} \times h$

$let \: \pi = 3.14 \\ let \: r = 3 \\ let \: h = 8$

$v = 3.14 \times {3}^{2} \times 8$

$v = 226.08 \: {cm}^{3}$

Next, you have to add up both volumes as the figure are made from cone and cylinder :

$v = 84.78 + 226.08$

$v = 310.86 \: {cm}^{3}$