Calculate the volume of the figure. Use 3.14 for π. Enter your answer as the number of m3, rounded to the nearest hundredth if necessary, like this: 42.53

Question

asked Aug 2, 2021 167k views

2 Answers

Okarin · Answer 1 · 2021-08-07T01:12:11+0000

Answer:

$586.13\,\,m^3$

Explanation:

Given: Figure

To find: Volume of the figure

Solution:

The given figure is composed of two shapes:cylinder and hemisphere

Radius of cylinder = 4 m

Height of cylinder = 9 m

Volume of cylinder =
$\pi (radius)^2height=\pi (4)^2(9)=3.14(16)(9)=452.16\,\,m^3$

Volume of hemisphere =
$(2)/(3)\pi (radius)^3=(2)/(3)(3.14)(4)^3= (2)/(3)(3.14)(64)=133.9733\,\,m^3$

So,

total volume of the figure = Volume of cylinder + Volume of hemisphere = 452.16 + 133.97 =586.1333
m^3

If 586.1333 is rounded to the nearest hundredth, it becomes 586.13
m^3