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
BARSIC [14]
1 year ago
9

If the surface area of the cone below is 628.32, find its volume. (Diameter is 16)

Mathematics
1 answer:
Brilliant_brown [7]1 year ago
3 0

To solve the question given

We will follow the steps below

First, the surface area is given to be 628.32

diameter = 16 this implies that radius = d/2 = 16/2 = 8

First, using the formula

surface area of a cone = πr² + πrl

we will find l

remember that π= 3.14

substituting the values into the above formula

surface area of a cone = πr² + πrl

628.32 = 3.14(8)² + 3.14(8)l

Next is to solve for l

628.32 = 200.96 +25.12 l

subtract 200.96 from both-side of the equation

628.32 - 200.96= 200.96 - 200.96 +25.12 l

427.36 = 25.12 l

Divide both-side of the equation by 25.12

427.36/25.12 = 25.12 l/25.12

17.01 = l

slant height (l) = 17.01

We can now calculate the volume of the cone using the formula:

V\text{ = }\frac{1}{3}\pi r^2\sqrt{l^2-r^2}

substituting r=8 π = 3.14 and l = 17.01 in the above formula

V=\frac{1}{3}\text{ }\times3.14\times(8)^2\text{ }\times\sqrt{(17.01)^2-(8)^2}

V=\text{ }\frac{1}{3\text{ }}\times3.14\times64\text{ }\times\sqrt{289.3401\text{ - 64}}

V=\text{ }\frac{1}{3}\times200.96\text{ }\times\sqrt{225.3401}

V\text{ =}\frac{1}{3}\times\text{ 200.96}\times15.01V\text{ = }\frac{3016.4096}{3}

V=1005.47

Volume of the cone is 1 005.47

You might be interested in
A company loses $5,400 as the result of a manufacturing defect. Each of the 8 owners have agreed to pay an equal amount, x, to p
sleet_krkn [62]

Answer:

A. 5400-8x

B. $600

Hope this helps :)

<em>-ilovejiminssi♡</em>

7 0
3 years ago
Read 2 more answers
Bryce orders the following items from a catalog. What is the total price he charges to his credit card if the sales tax is 6 per
Mkey [24]
D because added up is 109 times 1.06 = 115.54 + the $5 shipping makes the answer $120.54
3 0
3 years ago
Read 2 more answers
Can you guys help me find the mistake??
KIM [24]
Is that the whole question?
5 0
3 years ago
Read 2 more answers
Please Help!<br> Slope finding<br> 8th Grade work
icang [17]

Answer:

first question

slope = rise/run = 2/3

second question

slope = rise/run = 1/3

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
One coin in a collection of 65 has two heads. The rest are fair. If a coin, chosen at random from the lot and then tossed, turns
geniusboy [140]

Answer:

P=1/65.

Step-by-step explanation:

We knaow that one coin in a collection of 65 has two heads. If a coin, chosen at random from the lot and then tossed, turns up heads 6 times in a row. We calculate the probability that it is the two-headed coin.

We calculate  the number of possible combinations:

C_1^{65}=\frac{65!}{1!(65-1)!}=65

Number of favorable combinations is 1.

Therefore, the probability is

P=1/65.

6 0
3 years ago
Other questions:
  • Find the slope of every line that is perpendicular
    9·1 answer
  • Is △ABC congruent to △MNP?<br><br> (scale unit = 2)
    14·1 answer
  • Find Solution Asap BRANLIEST ​
    5·1 answer
  • Which pair not a pair of congruent sides in the diagram below ?
    9·2 answers
  • Evaluate the expression. Express the result in scientific notation. (6.32x10^-12)(9.5x10^-5)
    11·1 answer
  • What is the value of the lower quartile?<br><br> 2<br> 2.5<br> 3<br> 6
    11·1 answer
  • The diameter of a circle is 14 ft. Find its area to the nearest tenth.
    11·2 answers
  • What is the solution to the system of equations below. Y=3/4x-12and y=4x-31 (-4,-15) (-4,-12). (4,-9). (4,-47)
    11·1 answer
  • Identify the volume of the composite figure. Round to the nearest tenth.
    11·2 answers
  • Trey bought a football on sale for 15% off of $45. Evan bought the same football at a different store for 25% off of $54. Who re
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!