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Mathematics

1 answer:

dezoksy [38]2 years ago

3 0

The gcf of 18 and 8 is 2
18-8=2(18-8)

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cylindrical vase holds 8,038.4 cubic centimeters of water. The height of the vase is 40 centimeters. What is the length of the r

iragen [17]

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

2 years ago

Calculate the angle of depression from the

s344n2d4d5 [400]

Answer:

angle of depression ≈ 53.8°

Step-by-step explanation:

the angle of depression is the measure of the angle from the horizontal downwards from the top of the flag pole.

this angle is alternate to ∠ A and is congruent to ∠ A

using the sine ratio in the right triangle

sin A = $\frac{opposite}{hypotenuse}$ = $\frac{25}{31}$ , then