Question

A Quaker oatmeal box is a cylinder with a diameter of 10.2 cm and a height of 18.4 cm. What is the volume of the box?

What is the volume of a spherical ball with a radius of 11.45 cm?
How many centimeters are there in 5.14 feet?
How many meters are there in 3.14356 miles?
How do you express 15000 with three significant figures in scientific notation?
Two points in a rectangular coordinate system have the coordinates (1.8, 3.0) and (4.5, -1.7), where the units are in meters. What is the distance between these two points?

Answer 1

a.1503.52 cm^3

b.
`v=5575.3cm^(3)`

c. 156.67cm

d. 5059.07m

e.
`1.50*10^(4)`

f.5.42

Step-by-step explanation:

a. from the formula used to determine the volume of a cylinder which is expressed as

`v=\pi r^(2)h`

where r is the radius. note radius= diameter/2

and h is the height

for a cylinder of 10.2cm diameter, the radius is 10.2/2=5.2cm

and the height 18.4cm

`v =\pi *5.1^(2)*18.4\\ v =1503.52cm^(3)`

b. from the formula used to determine the volume of a cylinder which is expressed as

`v =(4)/(3) \pi r^(3) \\v=(4)/(3) \pi *11^(3) \\v=5575.3cm^(3)`

c. since 1ft=30.48cm

hence 5.14ft will be

5.14*30.48= 156.6672cm

d. since 1mile=1609.34m

hence 3.14356mile will be

3.14356*1609.34=5059.069425m

e. to express 15000 to 3 significant figure we have

`1.50*10^(4)`

f. the distance between two points is expressed as

`d=\sqrt{(x_(2)-x_(1))^(2) +(y_(2)-y_(1))^(2)}`

hence for points (1.8,3.0) and (4.5, -1.7) we have

`d=\sqrt{(4.5-1.8)^(2) +(-1.7-3.0)^(2)} \\d=√(7.29+22.09)\\ d=5.42`