Answer:
a. 45 π
b. 12 π
c. 16 π
Step-by-step explanation:
a.
If a 3×5 rectangle is revolved about one of its sides of length 5 to create a solid of revolution, we can see a cilinder with:
Radius: 3
Height: 5
Then the volume of the cylinder is:
V=π*r^{2} *h= π*(3)^{2} *(5) = π*(9)*(5)=45 π
b. If a 3-4-5 right triangle is revolved about a leg of length 4 to create a solid of revolution. We can see a cone with:
Radius: 3
Height: 4
Then the volume of the cone is:
V=(1/3)*π*r^{2} *h= (1/3)*π*(3)^{2} *(4) = (1/3)*π*(9)*(4)=12 π
c. We can answer this item using the past (b. item) and solving for the other leg revolution (3):
Then we will have:
Radius: 4
Height: 3
Then the volume of the cone is:
V=(1/3)*π*r^{2} *h= (1/3)*π*(4)^{2} *(3) = (1/3)*π*(16)*(3)=16 π
Answer:
dont know sorry i wish i could help you use the internet
Step-by-step explanation:
Answer: 6.25
Step-by-step explanation:
Because corresponding sides of similar triangles are proportional,

<u>Answer</u>
c. 62/95
<u>Explanation</u>
Probability is the chance of an event happening.
Probability = (favorable outcome)/(total outcome)
P(girl) = 12/20 × 11/19
= (12×11)/(20×19)
= 132/380
= 33/95
P( not a girl) = 1 - 33/95
= 62/95