HELP!!!!!!!!!!! The figure is made up of a hemisphere and a cylinder. What is the exact volume of the figure? Enter your answer in the box. cm3

Question

asked Sep 12, 2018 216k views

2 Answers

Maxim Filatov · Answer 1 · 2018-09-14T01:06:05+0000

Answer:

890 cubic cm is the exact volume of the figure

Explanation:

Volume of the hemisphere(V) is given by:

$V = (2)/(3) \pi r^3$

Volume of the cylinder(V') is given by:

$V' = \pi r^2h$

where, r is the radius and h is the height

As per the statement:

The figure is made up of a hemisphere and a cylinder.

In hemisphere:

radius(r) = 5 cm

then;

$V = (2)/(3) \pi 5^3 =(2)/(3) \pi \cdot 125$

Use
$\pi = 3.14$

$V = (2)/(3) \cdot 3.14 \cdot 125 \approx 261.7 cm^3$

In Cylinder:

radius(r) = 5 cm and height(h) = 8 cm

then;

$V' = \pi 5^2 \cdot 8$

⇒
$V' = 3.14 \cdot 25 \cdot 8 = 628 cm^3$

We have to find the exact volume of the figure

Total volume of the figure = V+V'

= 261.7+628 = 889.7 cubic cm

Therefore, 890 cubic cm is the exact volume of the figure