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scoray [572]
3 years ago
15

The large sphere has a diameter of 20 feet. A large sphere has a diameter of 20 feet. A smaller sphere with a radius of 4 feet i

s cut out of the center of the larger sphere. Which expression represents the volume, in cubic units, of the shaded part of the sphere? Four-thirdsπ(103) + Four-thirdsπ(43) Four-thirdsπ(103) – Four-thirdsπ(43) Four-thirdsπ(203) + Four-thirdsπ(43) Four-thirdsπ(203) – Four-thirdsπ(43)
Mathematics
2 answers:
wolverine [178]3 years ago
4 0

Answer:

its b

Step-by-step explanation:

lisov135 [29]3 years ago
3 0

We have been given that a large sphere has a diameter of 20 feet. A smaller sphere with a radius of 4 feet is cut out of the center of the larger sphere. We are asked to find the volume outside smaller sphere and inside larger sphere.

The volume outside smaller sphere and inside larger sphere will be equal to volume of larger sphere minus volume of smaller sphere.

V=\frac{4}{3}\pi R^3-\frac{4}{3}\pi r^3, where,

R = Radius of larger sphere,

r = Radius of smaller sphere.

We know that radius is half the diameter, so radius of larger sphere would be R=\frac{20}{2}=10.

Since the smaller sphere has a radius of 4 feet, so r=4.

Upon substituting these values in above formula, we will get:

V=\frac{4}{3}\pi (10)^3-\frac{4}{3}\pi(4)^3

Therefore, the volume outside smaller sphere and inside larger sphere would be \frac{4}{3}\pi (10)^3-\frac{4}{3}\pi(4)^3 and option B is the correct choice.

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If there are 2 genders it's 2^12, which is 4096
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4) (Assume AR is tangent)<br>Given: AR 12<br>SR - 7.7<br>Find: cs (Round to nearest tenth.)​
andreev551 [17]

The length of CS is 11.0

Explanation:

Given that the length of the tangent AR is 12

The length of SR is 7.7

To find: The length of CS

The<u> tangent secant theorem</u> states that "if a tangent and a secant are drawn from an external point to a circle, then the square of the measure of the tangent is equal to the product of the measures of the secant’s external part and the entire secant."

Applying the tangent secant theorem, we have,

AR^2=SR\times RC

Rewriting the above equation, we get,

AR^2=SR(SR+SC)

Substituting the values, we get,

12^2=7.7(7.7+CS)

Simplifying, we have,

144=59.29+7.7CS

Subtracting both sides by 59.29, we get,

84.71=7.7CS

Dividing both sides by 7.7, we have,

11.0013=CS

Rounding off to the nearest tenth, we get,

11.0=CS

Thus, the length of CS is 11.0

6 0
3 years ago
Mrs. Simpson drove 105 miles in 2 1/2 hours. What was Mrs. Simpson's average speed in miles per hour?
harkovskaia [24]
105 m = 2.5 h
 
x miles = 1 hour

You cross multiply since it's a proportion:
2.5 * x
105 * 1

=

2.5x = 105

Then you divide everything by 2.5

The answer is 42




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Hakeem subtracted 8 from a number, then multiplied the difference
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Answer:

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Step-by-step explanation:

(×-8)5=20

(5×-40)=20

5×(-40+40)=(20+40)

5×=60

5×÷5=60÷5

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