Arween's Volume Post

Cylinder Volume and Volume Problems
7.3
















Answers:
a)

R=D ÷ 2
R=2 ÷ 2
R=1m

V=π • r • r • h
V=(3.14•1•1)X 0.6
V=1.884m3
The volume of the tub with a depth of 0.6m is 1.884m3

b)

To find the height of the tub divide the Volume to the Area of the Base. Before that find the radius first.

R=D ÷ 2

R=2 ÷ 2

R=1m

Then find the area of the circle.

A=π * r * r

A=3.14 * 1 * 1

A=3.14m

Then Divide the Volume to the area of the circle.

H=1.256m3 ÷ 3.14m

H=0.4m

c)

Step 1. Find the volume of the tub with a depth of 0.5m

Step 2. Find the volume of the tub with a depth of 0.7m

step 3. Subtract the volume of the the tub with a depth of 0.7m to the tub with 0.5m.

Like this......

R=D ÷ 2

R= 2 ÷ 2

R=1m

Tub with a depth of 0.5m:

V=π*r*r*h

V=(3.14*1*1) * 0.5

V=1.57m3

Tub with a depth of 0.7m

V=π*r*r*h

V=(3.14*1*1) * 0.7

V=2.198m3

Then Subtract.

2.198m3 - 1.57m3

=0.628m3

it would take 0.628m3 to fill the tub with water at 0.7m.

7.4

Answer:

Outside:

R=D ÷ 2

R=1 ÷ 2

R=0.5m

V=π * r * r * h

V=(3.14*0.5*0.5) * 10

V=7.85m3

Inside:

R= D ÷ 2

R= 0.8 ÷ 2

R=0.4m

V=π * r * r * h

V=(3.14*0.4*0.4) * 10

V=5.024m3

Now Subtract the outside diameter to the inside diameter.

7.85m3 - 5.024m3

=2.8m3