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
stellarik [79]
3 years ago
15

pls help!! A cylindrical vase has a diameter of 12 inches and a height of 12 inches. If the vase is filled 3/4 full of soil, how

many cubic inches of soil are in the vase?
Mathematics
1 answer:
il63 [147K]3 years ago
7 0

Answer:

Answer: the vase contains 1017.36 inches³ of soil.

Step-by-step explanation:

We would apply thee formula for determining the volume of a cylinder which is expressed as

Volume = πr²h

Where

h represents the height of the cylinder

r represents the radius of the cylinder.

π is a constant whose value is 3.14

From the information given

Diameter = 12 inches

Radius = diameter /2 = 12/2

Radius = 6 inches

Height = 12 inches

Therefore,

Volume of the cylindrical vase =

3.14 × 6² × 12 = 1356.48 inches³

If the vase is filled 3/4 full of soil, then the volume of soil in the vase is

3/4 × 1356.48 = 1017.36 inches³

You might be interested in
Help me please and explain. <br><br>FIND THE AREA OF THE UNSHADED REGION ​
bagirrra123 [75]

To solve this first find the area of each of the white shapes inside the rectangle

The formula for the area of a circle is:

A = πr²

In this case we know that the radius is 2

Plug what you know into the area of a circle formula:

A = π2²

A = π4

A = 4π

A ≈ 12.57

The formula for the area of a square is:

A = Length x Height

In this case we know that both length and height are 3

Plug what you know into the formula for area of a square:

A = 3 x 3

A = 9

To find the area of the UNSHADED region simply add together the area of the circle (12.57) with the area of the square (9):

12.57 + 9 ≈ 21.57

To find the area of the SHADED region find the total area of the surrounding rectangle then subtract the area of unshaded area from the total area of the surrounding rectangle.

The formula for the area of a rectangle is:

A = Length x Height

The length is 10 and the height is 7

A = 10 x 7

A = 70

Shaded region:

70 - 21.57 = 48.43

Unshaded region: 21.57

Total area of surrounding rectangle: 70

Shaded region: 48.43

Hope this helped!

~Just a girl in love with Shawn Mendes

5 0
3 years ago
Read 2 more answers
Alexei wants to hang a mirror in his boat and put a frame around it. The mirror and frame must have an area of 19.25 square feet
zhuklara [117]

Let

x---------> the thickness of the frame in feet

At-------> Area of the mirror and the frame in square feet

we know that

At=19.25ft^{2} ------> equation 1

At=(3+2x)*(5+2x)\\ At=3*5+3*2x+5*2x+2x*2x\\ At=15+6x+10x+4x^{2} \\ At=4x^{2} +16x+15--------> equation 2

equate equation 1 and equation 2

19.25=4x^{2} +16x+15\\ 4x^{2} +16x+15-19.25=0\\ 4x^{2} +16x-4.25=0

therefore

the answer is the option

C. 4x2 + 16x - 4.25 = 0

5 0
3 years ago
Read 2 more answers
HELP!! Which truck pulled 2,000 pounds at the average<br> speed of 2 yards per minute?
Advocard [28]
The correct answer it would be B

Ford
8 0
2 years ago
It is estimated that the annual cost of driving a certain new car is given by the formula C = 0.37m + 2600 where m represents th
arsen [322]

Answer:

12000-14000 (in miles)

Step-by-step explanation:

We are given that the annual cost of driving a certain car is given by the formula

C=0.37m+2600

Where m=Represents the number of miles driven per year

C=Cost in dollars

We have to find the range of  miles that Jane  can drive her new car.

Range of budgets=$7040-$7780

Substitute C=$7040 in the given formula

7040=0.37m+2600

7040-2600=0.37m

4440=0.37m

m=\frac{4440}{0.37}

m=12000

Substitute C=$7780 in the given formula

7780=0.37m+2600

7780-2600=0.37m

5180=0.37m

m=\frac{5180}{0.37}=14000

The range of miles that Jane can drive her new car=12000-14000

4 0
3 years ago
Pint 16oz $3.98
LiRa [457]
Okay, so when dealing with unit rates you want to see how much you have of your main measurement. In this case your main measurement is ounces. Since you have 16 and 32 you are going to divide your dollar amount by those and round to the nearest tenth. 
Here are the equations that need to be used. Figure out the answers to them and round. This will give you your answer
3.98/16=
5.98/32=
4 0
2 years ago
Other questions:
  • Please help me have to turn it in before 5:00
    12·2 answers
  • What number can be used as a common denominator for the fractions 1/4 and 5/6
    15·2 answers
  • Ashley runs 6 miles in 49 minutes. how many miles does she run per minute?
    8·1 answer
  • Use complete sentences to describe how measurements of position in two directions (vertical and horizontal) are sufficient enoug
    7·1 answer
  • At a distance of 10 cm from a presumably isotropic, radioactive source, a pair of students measure 55 cps (cps = counts per seco
    9·1 answer
  • How do you block someone?<br> BE SPECIFIC.
    5·1 answer
  • Cooking and shopping Forty-five percent of Americans like to cook and 59% of Americans like to shop, while 23% enjoy both activi
    10·1 answer
  • If the first quadrant you start at 3,6 and move 3 units down
    10·1 answer
  • Evaluate the following expression for w=4. w^-3 =
    15·1 answer
  • Decrease £120 by 12.5%
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!