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Harman [31]
3 years ago
14

The radius of a sphere is 7 in. What is the sphere's volume? Round to the nearest tenth, if necessary.

Mathematics
2 answers:
Nastasia [14]3 years ago
8 0
I believe the answer is:
1436.76in³ 
Elanso [62]3 years ago
3 0
The volume of a sphere refers to the number of cubic units that will exactly fill a sphere. The volume of a sphere can be found or calculate by using the formula V=4/3πr^3, where r represents the radius of the figure.

In this exercise is given that the radius of a sphere is 7 inches and it is asked to find its volume. The first step to find the volume of the sphere will be the substitution of the given values into the previous mention formula.

V=4/3πr^3
V=4/3π(7)^3
V=4/3π(343)
V=457.33π in^3 or 1436.76 cubic inches

The volume of the sphere is 457.33
π in^3 in terms of pi, or 1436.76 cubic inches.
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y=-18/5(x)-7/5

Step-by-step explanation:

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The radius of a circle is 8 kilometers. What is the area?
Scorpion4ik [409]

Answer:

Area of the circle=200.96 km^2

Step-by-step explanation:

Area of a circle=\pi *r*r

For radius(r)=8 km

The area of the circle is :

                 =\pi *8*8

As:    

    \pi =\frac{22}{7}=3.14

Area of the circle:

                        =3.14*8*8\\\\=3.14*64\\\\=200.96km^2

The Area of the circle with the radius of 8km is 200.96 km^2

7 0
3 years ago
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Determine whether or not the three points are on the same line.<br> (1, -3) (3, 1) (5, 7)
alukav5142 [94]

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They are on the same line

Step-by-step explanation:

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3 years ago
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7 0
3 years ago
Of all the soft drink consumers in a particular sales region, 30% prefer Brand A and 70% prefer Brand
victus00 [196]

Answer:

Option D -0.67

Step-by-step explanation:

Given : Preference of Brand A =30% ⇒ P(A)=\frac{30}{100}=0.3

Preference of Brand B =70% ⇒ P(B)=\frac{70}{100}=0.7

Prefer Brand A and are Female = 20% ⇒ P(A/F)=\frac{20}{100}=0.2

Prefer Brand B and are Female = 40% ⇒ P(B/F)=\frac{40}{100}=0.4

To find : Selected consumer is female, given that the person prefers Brand A P(F/A)

Solution : Using Bayes' theorem, which state that

P(A/B)=\frac{P(B/A)P(A)}{P(B)}

where, P(A) and P(B) are probabilities of observing A and B.

P(B/A)= is a conditional probability where event B occur and A is true

P(A/B)= also a conditional probability where event A occur and B is true.

Now, applying Bayes' theorem,

P(F/A)=\frac{P(A/F)P(A)}{P(B)P(B/F)+P(A)P(A/F)}

P(F/A)=\frac{(0.2)(0.3)}{(0.7)(0.4)+(0.3)(0.2)}

P(F/A)=\frac{0.6}{0.28+0.6}

P(F/A)=\frac{0.6}{0.88}

P(F/A)=0.68

Therefore, Option D is correct probability that a randomly selected consumer is female, given that the person prefers Brand A -0.67

3 0
4 years ago
Read 2 more answers
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