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3 years ago

What is the relative size of (how many times as large) a circle's' circumference C to its diameter, d

Mathematics

1 answer:

Pavlova-9 [17]3 years ago

4 0

Answer:

The circumference is pi times larger than the diameter of a circle.

Step-by-step explanation:

The formula of the circumference of a circle is

C = 2(pi)r = (pi)d

C = (pi)d

To find the ratio of the circumference to the diameter, divide both sides of the equation by d.

C/d = pi

The circumference is pi times larger than the diameter of a circle.

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The object below was made by placing a cone on top of a cylinder. The base of the cone is congruent to the base of the cylinder.

Ber [7]

Answer:

Part 1) The volume of the object is $32\pi\ cm^{3}$ or $100.48\ cm^{3}$

Part 2) see the procedure

Step-by-step explanation:

<u><em>The picture of the question in the attached figure</em></u>

Part 1) What is the volume, in cubic centimeters, of the object?

we know that

The volume of the object is equal to the volume of the cylinder plus the volume of the cone

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The volume of the cone is equal to

$V=\frac{1}{3}\pi r^{2} h$

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$h=3\ cm$

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Find the volume of the cylinder

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$V=\pi r^{2} h$

we have

$r=4/2=2\ cm$ -----> the radius is half the diameter

$h=(10-3)=7\ cm$

substitute the values

$V=\pi (2^{2})(7)=28\pi\ cm^{3}$

Part 2) Then explain how you found the volume of the total shape

The volume of the total shape is equal to the volume of the cylinder plus the volume of the cone

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allochka39001 [22]

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Answer:

a = 5/4

Step-by-step explanation:

To make the second number in this ratio be 1, you need to multiply the whole ratio by 7/4:

(7/4)(5/7) : (7/4)(4/7) = 5/4 : 1 = a : 1

a = 5/4

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