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ohaa [14]
3 years ago
13

A sphere has a radius of 9 in, which means its volume is 972π in3. The sphere is dilated by 2⁄3. What is the volume of the new s

phere?
Mathematics
2 answers:
Minchanka [31]3 years ago
8 0

Answer:

I have this same question on my math test.

Since the <em>radius is 9</em>, the diameter is 18.

The shape is being <em>dilated by 2/3, so the new radius is 6</em>.

Volume formula: V = 4/3πr^3

So now we plug in the values.

V = 4/3 x π x (6)^3

V = 4/3 x π x 216

V = 288π

If the answers <em>do not</em> have the pi symbol present, then it <em>has been multiplied into the answer.</em>

288 x 3.14 = 904.32

The new volume of the sphere is 904.32 in^3

swat323 years ago
3 0

Answer:

08-Oct-2009 — If a spherical balloon has a volume of 972 pi cubic centimeters, what is ... is 4.pi.r^2 (its area remember not volume) as 4/3.pi.r^3=972pi r=9 ... and it is good to know the squares of the next 10 numbers.

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<span>Volume of a square = (s)(s)(s) and s=5a+4b Therefore: (5a+4b)(5a+4b)(5a+4b)= (25a^2+40ab+16b^2)(5a+4b)= (125a^3+200a^2b+80ab^2+100a^2b+160ab^2+64b^3)= (125a^3+300a^2b+240ab^2+64b^3) You just multiple the first time the second and then do so again with the combination of the first two times the second. A little cleaning up and you are left with an equation in terms of a and b.</span>
7 0
3 years ago
Instructions: Use the ratio of a 30-60-90 triangle to solve for the variables. Leave your answers as radicals in simplest form.
wel

Answer:

n=42, m=42\sqrt{3}

Step-by-step explanation:

The side opposite the 30° angle is half the size of the hypotenuse. So, 84/2=42. Now, the side opposite the 60° angle is shown as 84/2 · \sqrt{3}, which is the same as 42√3.

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3 years ago
Letp,qandrbe the propositions such that,p:"You get an A on the final exam"q:"You do every exercise in this book"r:"You get an A
Zanzabum

Answer:

a) r→q

b) r→p

c) r→p

d) r→ p∧q

e) r→ p∨q

Step-by-step explanation:

Using logical connectives, as shown in the picture below, we can write all of the statements of the question.

p:"You get an A on the final exam"

q:"You do every exercise in this book"

r:"You get an A in this class"

a) r→q

b) r→p

c) r→p

d) r→ p∧q

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3 years ago
Jaden can read 18 pages in 1/3 of an hour. How many pages can he read in 2 hours
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3 years ago
At her restaurant .Yolanda open 285 cans of tomato sauce .She need to use 4 can of for one pan of lasagna how many pans of lasag
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Answer:

71 1/4 pans of lasagna

Step-by-step explanation:

4 cans of tomato sauce = 1 pan of lasagna

285 cans of tomato sauce = x pan of lasagna

4 = 1

285 = x

Cross product

4*x = 285*1

4x = 285

x = 285/4

x = 71 1/4 pans of lasagna

8 0
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