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:
x=9
Step-by-step explanation:
a scale drawing means all the sides are multiplied by the same amount. to find this amount, you can divide the larger side by the bigger side by the smaller side.
15/5 = 3
12/4 = 3
therefore the scale factor is 3. to get the value of x, multiply the value of the third side by 3.
3*3=9
x=9
All you have to do is divide 3.5 by 5 and you should get 0.7. So she used 0.7 yards on one dress. Hope this helped :)
The answer would be 2.16.
This is because the two negatives would cancel each other out when multiplying. This would basically make the question
.
Now 3.3 is definitely not less than 2.4, so the answer would be 2.16
If 3/7 are boys, then 4/7 have to be girls.
2282 / 7 = 326
326 x 4 = 1304
There are 1304 girls.
