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3.A prop for the theater club’s play is constructed as a cone topped with a half-sphere. What is the volume of the prop? Round y

Marizza181 [45]

The answer is 2,713 in³

The volume (V) of the prop is the sum of the volume of cone (V1) and half of the volume of the sphere (V2): V = V1 + 1/2 * V2

Volume of the cone is:
V1 = π r² h / 3
According to the image,
h = 14 in
r = 9 in
and
π = 3.14
V1 = 3.14 * 9² * 14 / 3 = 1,186.92 in³

The volume of the sphere is:
V2 = π r³ * 4/3
According to the image,
r = 9 in
and
π = 3.14
V2 = 3.14 * 9³ * 4/3 = 3,052.08 in³

The volume of the prop is:
V = V1 + 1/2 * V2
V = 1,186.92 in³ + 1/2 * 3,052.08 in³
V = 1,186.92 in³ + 1,526.04 in³
V = 2,712.96 in³ ≈ 2,713 in³

5 0

3 years ago

Please Help ASAP in this

elena-14-01-66 [18.8K]

Answer:

The answer is 5

Step-by-step explanation:

because when x and z are together y should be 5

5 0

4 years ago

Match the expressions with their resultant terms in exponential form

jasenka [17]

The First expression is 13 to the 1st power. the second expression is 13 to the -22nd power. third expression is 13 to the 15th power fourth expression is 13 to the 7th power.

5 0

3 years ago

Read 2 more answers

On a team, 6 girls and 5 boys scored a total of 57 points. The difference between the number of points scored by the 6 girls an

kow [346]

Answer:

The number of points scored by girls = x = 7 points

The number of points scored by boys = y = 3 points

Step-by-step explanation:

The number of points scored by girls = x

The number of points scored by boys = y

On a team, 6 girls and 5 boys scored a total of 57 points.

6 × x + 5 × y = 57

6x + 5y = 57....... Equation 1

The difference between the number of points scored by the 6 girls and the number of points scored by the 5 boys is 27.

6x - 5y = 27.......... Equation 2

6x + 5y = 57....... Equation 1

6x - 5y = 27.......... Equation 2

We Add the Equations together

12x = 84

x = 84/12

x = 7 points

6x + 5y = 57....... Equation 1

6(7) + 5y = 57

42 + 5y = 57

5y = 57 - 42

5y = 15

y = 15/5

y = 3 points

Hence:

The number of points scored by girls = x = 7 points

The number of points scored by boys = y = 3 points

3 0

3 years ago

Your question of the day <br><br> What makes a good student? Explain? Why?

Harman [31]

Answer:

a good student someone that pays attention in class and studies. If they do the work, study and pay attention there should be no issues. most teachers like students like that and the should be able to pass the class.

5 0

3 years ago