1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Bess [88]
3 years ago
15

7.

Mathematics
1 answer:
Iteru [2.4K]3 years ago
7 0

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

You might be interested in
For the inverse variation equation xy=k what is the constant of variation k when x=-3 And y=-2
ELEN [110]

ANSWER

The constant of variation is 6.

EXPLANATION

The inverse variation equation is:

xy = k

We want to find the constant of variation, when x=-3 and y=-2.

We substitute the values for x and y to get,

- 3 \times  - 2 = k

Multiply out the left hand keeping in mind that negative times negative yields a positive result.

This implies that;

k= 6

Hence the constant of variation is 6.

8 0
2 years ago
Read 2 more answers
The length of a rectangle is six times its width. The area of the
Anni [7]

Answer:

length= 42

width = 7

Step-by-step explanation:

4 0
2 years ago
Please help and explain answer
prohojiy [21]
ABCD is square so AB = BC = CD = AD
10 - x = x - 8 so x= 9 then AD will be 1yd, i guess im not sure bc i dunno the 2x-17 for :((
5 0
3 years ago
Pls answer also no explanation no brainliest.
soldier1979 [14.2K]

Answer:

i belive the answer is the option c

3 0
3 years ago
Read 2 more answers
write an equation, in slope-intercept form, to model each sitution. : the population of pine bluff is 6791 and is decreasing at
Elena L [17]
6791 of per year answer
8 0
2 years ago
Read 2 more answers
Other questions:
  • In a week, a given stock gained 6 points, dropped 13 points, dropped 3 points, gained 15 points, and dropped 10 points. What was
    11·1 answer
  • How many lines of symmetry does a triangle have
    9·1 answer
  • Apply the distributive propertyto create an equivalent expression. 1/2(6e-3f-3/4)
    12·2 answers
  • F(x)=(x^3+4x^2+7x-9) d(x)=(x+3)<br><br> divide using long division
    6·1 answer
  • When given two data points, how would you use this information to create a linear equation? How would you create a linear equati
    7·1 answer
  • Determine whether the following graph represents a function.
    9·1 answer
  • I need to solve for the indicated pieces of the right triangle and round sides and angles to the nearest tenth also find What x
    10·1 answer
  • I need help, please. I don’t understand
    8·1 answer
  • What is the area of the parallelogram?
    9·1 answer
  • Maths-4
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!