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
erastovalidia [21]
1 year ago
6

The figure shows a cylinder of diameter 12cm and height = 15cm. A hole in the shape of cone is bored into one of its end. If the

cone has diameter equal to half of the diameter of the cylinder. find the volume of the remaining solid.​
Mathematics
1 answer:
Lisa [10]1 year ago
5 0

Answer:

\bold{495\pi} \approx \bold{1555.088 cm^3}

Step-by-step explanation:

There was no figure but the question is clear

Volume of a cylinder is given by the formula \bold{\pi r^2h}\\

where r is radius of base of cylinder, h is the height

Volume of a cone is given by \bold{\frac{1}{3} \pi r^2 h}

where r is the radius of base of cone, h is the height

The radius of the cylinder = \frac{1}{2}(diameter) = \frac{1}{2}(12) = 6cm

Height of cylinder = 15cm

Volume of cylinder V_{cyl} = \pi (6)^2  15 = \pi (36)15 = \bold{540\pi}

Radius of cone = \frac{1}{2} (radius of cylinder) = \frac{1}{2}(6) = 3 cm

Height of cone same as height of cylinder = 15cm

Volume of cone, V_{cone} = \frac{1}{3}\pi r^2 h = \frac{1}{3}\pi (3)^2 15 =  \frac{1}{3}(9)15\pi = \bold{45\pi}\\


Difference is the volume of the remaining solid

V_{cyl} - V_{cone} = 540\pi - 45\pi = \bold{495\pi} \approx \bold{1555.088 cm^3}



You might be interested in
The date of death for a widow was 2019. If the estate was valued at $2,186,000 and the estate was taxed at 40 percent, what was
Airida [17]

Answer:

Value of tax liability will be zero

Step-by-step explanation:

Given:

Total estate value = $2,186,000

Estate tax = 40 %

Find:

Heir's tax liability = ?

Computation:

Total taxable estate = Total estate value - Estate Exemption

Note: According to Exhibit 19-6 for Estate Exemption, Estate Exemption  is 11.4 million.

We know that Estate Exemption  is higher than total estate value, therefore will be no tax liability on the successor, so the value of tax liability will be zero.

7 0
3 years ago
K12 5 GRADE WORK NEED HELP MARK CROWN
Dvinal [7]

Answer:

6.85 oz

Step-by-step explanation:

13.7 ÷ 2 = 6.85

4 0
3 years ago
Read 2 more answers
Pls help me with this math question i beg ​
velikii [3]

Answer:

All angles in a quadrilateral = 360°

b =?

b = 360 - (128 + 61 + 57)

b = 360 - 246

b = <u>1</u><u>1</u><u>4</u><u>°</u>

3 0
2 years ago
Which of the following is NOT true about an explanatory variable?
raketka [301]
I guess choice D is the best answer.
It is a dependent variable <span>is NOT true about an explanatory variable.</span>
3 0
3 years ago
Is 1044 divisible by 2,3,5,6,9 or 10
Travka [436]
1044 is divisible by 2 as it is an even number
To check whether it divides by three, just add all the digits and see if that is divisible by three, so 1+0+4+4 is 9 and 9/3= 3, so 1044 is divisible by three
Not divisible by 5 because it does not end in 5 or 0
Divisible by 6, 1044/6= 174
Divisible by 9, 1044 /9 gives 116
Not divisible by 10 because it does not end in 0
6 0
3 years ago
Other questions:
  • What is the range of the function y=e^4x?<br><br> y&lt;0<br> y&gt;0<br> y&lt;4<br> y&gt;4
    7·2 answers
  • What geometric term describes a corner f a living room
    8·1 answer
  • Item 16 A sphere has a radius of 8 centimeters. A second sphere has a radius of 2 centimeters. What is the difference of the vol
    5·1 answer
  • Find the general indefinite integral. (use c for the constant of integration.) (7θ − 6 csc(θ) cot(θ)) dθ
    10·1 answer
  • Writing in math
    6·2 answers
  • What is two hundred sixty-five thousandths in standard form?
    10·1 answer
  • Which is the better deal: 8 ounces of shampoo for $0.89 or 12 ounces for 1.47.
    14·1 answer
  • Which statement does not describe the sine function?
    12·2 answers
  • Jill made the model below to show the quotient 1.28 divided 4 pls someone help
    10·1 answer
  • Without using a calculator, order the following numbers from least to greatest . 5 sqrt(14) 4
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!