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
yan [13]
3 years ago
14

The equation above can be used to calculate the volume V, of a cone with a height h and radius r. If the volume of a cone is 243

?ft3, and the height is equal to the radius of the base, what is the height of the cone in feet?
Mathematics
1 answer:
WARRIOR [948]3 years ago
5 0

Answer:

The height of the cone is h=9\ ft

Step-by-step explanation:

we know that

The volume of a cone is equal to

V=\frac{1}{3}\pi r^{2}h

In this problem we have

V=243\pi\ ft^{3}

r=h\ ft

substitute

243\pi=\frac{1}{3}\pi (h^{2})h

simplify

729=(h^{3})

h=\sqrt[3]{729}\ ft

h=9\ ft

You might be interested in
Graph -2x+10+5y=0 using intercepts. Add two intercept points on the graph.
mihalych1998 [28]
If you need any steps explained lmk

7 0
3 years ago
E U F {2,4,6,8,} true or false
lesya [120]
Tbh i think its true not 100%
4 0
3 years ago
Please help.. part a & b
umka21 [38]

Answer:

Part A

to the 10th power will be positive and to the 11th power is negative. When the exponent is even it will be positive. When it is odd it will be negative

Part B

The one with the negative enclosed will be positive. The second one, the exponent is only effecting the number and not the sign. The outcome will always be negative.

4 0
4 years ago
The gross weight of a truck containing 30 pigs is 8 tons 1,123 pounds and 6 ounces. The average weight of one pig is 95 pounds 1
irakobra [83]

Answer: The net weight of the pigs of the truck is 1 ton 868 pounds 12 ounces.

The weight of the empty truck is 7 tons 254 pounds 10 ounces.

Step-by-step explanation:

Since we have given that

The gross weight of a  truck containing 30 pigs = 8 tons 1123 pounds 6 ounces

Average weight of one pig = 95 pounds 10 ounces

Now,

We know that

1\text{ pound}=16\text{ ounces}

So,

\text{Gross weight of truck containing 30 pigs}\\=8\text{ tones }1123\times 16+6\text{ ounces}\\=8\text{ tons }17974\text{ ounces}

Similarly,

\text{ average weight of one pig }\\=95\times 16+10\text{ ounces}\\=1530\text{ ounces}

So, Net weight of the pigs in the truck

1530\times 30\\ =45900\text{ ounces}\\\\=\frac{45900}{16}\\\\=2868\text{ pounds }12\text{ ounces}\\\\=1\text{ ton }868\text{ pounds }12\text{ ounces }

So, the net weight of the pigs of the truck is 1 ton 868 pounds 12 ounces.

Now, we'll find the weight of the empty truck is given by

\text{Gross weight of a truck containing} -\text{ Net weight of pigs in the truck}\\=8\text{ tons}1123\text{ pounds}6\text{ ounces}-1\text{ton }868\text{ pounds }12\text{ounces}\\=(8\times 2000\times 16+1123\times 16+6)-(1\times 2000\times 16+868\times 16-12)\\=273974\text{ ounces}-45900\text{ ounces}\\=228074\text{ounces }\\=7\text{ tons }254\text{ pounds }10\text{ ounces}

Hence, the weight of the empty truck is 7 tons 254 pounds 10 ounces .


4 0
3 years ago
A dog buries a bone −1 5/6 inches into the dirt. The dog buries another bone −1 3/4 inches into the dirt. Which bone is buried d
Luden [163]
I did this test to it’s 1 5/6
3 0
3 years ago
Other questions:
  • In the diagram below what is the relationship between the number of rectangles in the perimeter of the figure they form?
    13·1 answer
  • The members of a high school band asked a number of students whether they would like blue, gold, or both for the uniforms for th
    5·2 answers
  • A 20 gallon fish tank is being filled at a rate of 2 gallons per minute.At this rate,how many minutes will it take to fill this
    10·2 answers
  • Please help!! ill mark you as brain!!
    8·1 answer
  • A fair rents a thrill ride for $3000. It cost $4 to purchase a token for the ride. Write and solve an inequality to determine th
    8·1 answer
  • No explanation needed, just correct answer please.
    5·1 answer
  • H - 9 = 7 <br> explain how you found h
    8·2 answers
  • . Jamie is walking of a mile every
    11·2 answers
  • Help please explain how you got the answer
    14·1 answer
  • There were 10 cupcakes on a plate and 7 kids who are trying to share it. How can they share the cupcakes ?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!