3 years ago

MULTIPLE CHOICE help

Mathematics

1 answer:

Neporo4naja [7]3 years ago

3 0

I believe the answer is C

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Work out the volume of the shape

pashok25 [27]

Answer:

$\large\boxed{V=\dfrac{1,421\pi}{3}\ cm^3}$

Step-by-step explanation:

We have the cone and the half-sphere.

The formula of a volume of a cone:

$V_c=\dfrac{1}{3}\pi r^2H$

r - radius

H - height

We have r = 7cm and H = (22-7)cm=15cm. Substitute:

$V_c=\dfrac{1}{3}\pi(7^2)(15)=\dfrac{1}{3}\pi(49)(15)=\dfrac{735\pi}{3}\ cm^3$

The formula of a volume of a sphere:

$V_s=\dfrac{4}{3}\pi R^3$

R - radius

Therefore the formula of a volume of a half-sphere:

$V_{hs}=\dfrac{1}{2}\cdot\dfrac{4}{3}\pi R^3=\dfrac{2}{3}\pi R^3$

We have R = 7cm. Substitute:

$V_{hs}=\dfrac{2}{3}\pi(7^3)=\dfrac{2}{3}\pi(343)=\dfrac{686\pi}{3}\ cm^3$

The volume of the given shape:

$V=V_c+V_{hs}$

Substitute:

$V=\dfrac{735\pi}{3}+\dfrac{686\pi}{3}=\dfrac{1,421\pi}{3}\ cm^3$

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3 years ago

-9 irrational or rational

valina [46]

-9 is a rational number.

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3 years ago

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Angelica writes a function f with a domain of all real numbers and a range of {-13}. Which of the following could be the functio

leonid [27]

Answer:

Step-by-step explanation:

I just took the test, the correct answer is .. 31.5 in.

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3 years ago

Which is an equation of the line through (-8,-4) and (4, 5)?

DochEvi [55]

Answer:

the right answer is A :)

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3 years ago

Can someone help me find the value of X I would really appreciate it ;)

ipn [44]

Step-by-step explanation:

the similarity of the triangle:

x/18 = 8/12

=> 12x = 18×8

12x = 144

x = 12

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3 years ago