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2 years ago

I will give lot of points please help

Mathematics

2 answers:

soldi70 [24.7K]2 years ago

6 0

Volume

πr²h
π(19.05/2)²(38)
π(9.5)²(38)
10768.63mm²

The cylinder is same as first one

zheka24 [161]2 years ago

4 0

Answer:

V = 43323 mm³

(second answer is already correct)

Step-by-step explanation:

these pennies make up the shape of a cylinder, so, we can solve this question by solving for the volume of a cylinder.

the volume of a cylinder can be found with the formula:

V = πr²h

(V = volume ; π = pi ; r = radius ; h = height)

We know the diameter of this cylinder is 19.05 mm. Diameter is two times the length of the radius, (diameter is all the way across, radius is from center to outer / halfway across) meaning that we can find the radius by dividing 19.05 by 2.

diameter = 19.05

radius = 19.05 / 2 = 9.525

so, r = 9.525

we also are given the height of this cylinder, 38 mm

so, h = 38

π = 3.14159 (π is a constant)

plugging our measurements into the volume formula:

V = πr²h

V = (3.14159)(9.525²)(38)

V = (3.14159)(362.9025)(38)

V = 43323.4894628

[rounded to V = 43323 mm³]

And yes, the volume is not affected by a change in shape. (you are correct)

hope this helps!!

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