The radius of the cylindrical vase is 8 centimeters, if the cylindrical vase holds 8,038.4 cubic centimeters of water and the height of the vase is 40 centimeters.

Step-by-step explanation:

The given is,

Volume of cylindrical vase = 8038.4 cubic centimeters

Height of the cylindrical vase = 40 centimeters

Step:1

Formula for volume of cylindrical vase,

$Volume, V=\pi r^{2} h$ ......................(1)

Where, r - Radius of cylindrical vase

h - Height of cylindrical vase

From the given,

V = 8038.4 cubic centimeters

h = 40 centimeters

Equation (1) becomes,

8038.4 $= \pi r^{2} 40$

$=(3.14)(40)r^{2}$ (∵ $\pi$ = 3.14 )

$8038.4 = 125.6 r^{2}$

$r^{2} = \frac{8038.4}{125.6}$

$r =\sqrt{64}$

r = 8 centimeters

Result:

The radius of the cylindrical vase is 8 centimeters, if the cylindrical vase holds 8,038.4 cubic centimeters of water and the height of the vase is 40 centimeters.

7 0

3 years ago

Nixon recycles 6 cans every week. Which expression shows the total number of cans he recycles in w weeks?

Minchanka [31]

Total number of cans = N
number of weeks = w

The multiplier is 6.

Therefore the expression must be:
N = 6w

5 0

3 years ago