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2 years ago

If the volume of a Prism was 33cm³, what would be the

Mathematics

1 answer:

Rashid [163]2 years ago

7 0

Answer:

11 cm³

Step-by-step explanation:

the volume of a pyramid is $\frac{1}{3}$ the volume of the congruent prism, so

volume of pyramid = $\frac{1}{3}$ × 33 cm³ = 11 cm³

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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

Find the volume of the cone

The volume of the cone is equal to

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

we have

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

$h=3\ cm$

substitute the values

$V=\frac{1}{3}\pi (2^{2})(3)=4\pi\ cm^{3}$

Find the volume of the cylinder

The volume of the cylinder is equal to

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

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

$4\pi\ cm^{3}+28\pi\ cm^{3}=32\pi\ cm^{3}$ ------> exact value

Find the approximate value of the volume

assume

$\pi=3.14$

$32(3.14)=100.48\ cm^{3}$

7 0

3 years ago

Read 2 more answers

I really need help what's the answer??

lys-0071 [83]

I think you just have to add all of the totals up??

5 0

3 years ago

Can someone help me plzzz

tangare [24]

Step-by-step explanation:

B OPTION IS RIGHT ANSWER

3 0

3 years ago

The probability of Roger winning the tournament, given that Stephan wins, is 0. The probability of Stephan winning the tournamen

Fofino [41]

They're both true. Both statements, together, make one
single fancy way of saying "Only one man can win.".

7 0

3 years ago

Each month, a shopkeeper spends 5x+11 dollars on rent and electricity. if he spends 2x-3 dollars on rent, how muck dose he spend

timofeeve [1]

Rent and electricity = 5x + 11
rent = 2x - 3

electricity = (5x + 11) - (2x - 3)
electricity = 5x + 11 - 2x + 3
electricity = 3x + 14

---------------------------------
Answer: 3x + 11
---------------------------------

5 0

3 years ago