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
Ira Lisetskai [31]
3 years ago
11

find the curved surface area and total surface area of a right circular cylinder whose height is 15 cm and the radius of the bas

e is 7 cm​
Mathematics
1 answer:
otez555 [7]3 years ago
6 0

Answer:

CSA = 660cm^2 --- Curved Surface Area

TSA = 968cm^2  --- Total Surface Area

Step-by-step explanation:

Given

Shape: Cylinder

h = 15 -- height

r = 7 --- radius

Solving (a): The curved surface area (CSA)

This is calculated as:

CSA = 2\pi rh

This gives:

CSA = 2 * \frac{22}{7} * 7 * 15

CSA = 2 * 22* 15

CSA = 660cm^2

Solving (b): The total surface area (TSA)

This is calculated as:

TSA = 2\pi r(h + r)

This gives:

TSA = 2 * \frac{22}{7} * 7 * (15 + 7)

TSA = 2 * 22 * (15 + 7)

TSA = 2 * 22 * 22

TSA = 968cm^2

You might be interested in
It's Jenny's birthday! She invites her three best friends Janey, Jeannie, and Joany
Luba_88 [7]
The answer to this problem is 12.
8 0
3 years ago
<img src="https://tex.z-dn.net/?f=%5Chuge%20%5Cdag%20%5Csf%7BAnswer%20%5C%3A%20it%7D" id="TexFormula1" title="\huge \dag \sf{Ans
spayn [35]

Answer:

<h3>Some Points about this Formula :- </h3>

  • The formula given here is the definition of the derivative in calculus. The derivative measures the rate at which a quantity is changing.

  • For example, we can think of velocity, or speed, as being the derivative of position - if you are walking at 3 miles (4.8 km) per hour, then every hour, you have changed your position by 3 miles.

<h3>To know the solution,Refer to the above attachment . </h3>

3 0
2 years ago
Solve for x.<br><br> x=<br><br> Look at image
postnew [5]

Answer:

x = 14

Step-by-step explanation:

To find x, the following equation is generated given the available information:

\frac{(x + 7) + x)}{x + 7} = \frac{12 + 8}{12}

\frac{2x + 7}{x + 7} = \frac{20}{12}

\frac{2x + 7}{x + 7} = \frac{5}{3}

Cross multiply

3(2x + 7) = 5(x + 7)

6x + 21 = 5x + 35

Collect like terms

6x - 5x = - 21 + 35

x = - 21 + 35

x = 14

8 0
3 years ago
2. Carl needs 15 hours longer than Jennifer to paint a room. If they work together, they can complete the job in 4 hours. Explai
nasty-shy [4]

Answer:

Jennifer would complete the job on her own in 5 hours.

Step-by-step explanation:

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

ax^{2} + bx + c, a\neq0.

This polynomial has roots x_{1}, x_{2} such that ax^{2} + bx + c = a(x - x_{1})*(x - x_{2}), given by the following formulas:

x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}

x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}

\Delta = b^{2} - 4ac

Rates

The together rate is the sum of their separates rate.

We have that:

Jennifer takes x hours to complete the job on her own, so her rate is 1/x.

Carl needs 15 hours longer than Jennifer, that is, 15 + x hours, so his rate is 1/(15+x).

The together rate is 1/4. So

\frac{1}{4} = \frac{1}{x} + \frac{1}{15+x}

\frac{1}{4} = \frac{15 + x + x}{x(15+x)}

\frac{1}{4} = \frac{15 + 2x}{x(15+x)}

Applying cross multiplication.

x^2 + 15x = 4(15 + 2x)

x^2 + 15x = 60 + 8x

x^2 + 7x - 60 = 0

Quadratic equation with a = 1, b = 7, c = -60. So

\Delta = 7^{2} - 4*1*60 = 289

x_{1} = \frac{-7 + \sqrt{289}}{2} = 5

x_{2} = \frac{-7 - \sqrt{289}}{2} = -12

Since the time to complete the job has to be a positive value.

Jennifer would complete the job on her own in 5 hours.

4 0
3 years ago
The distance traveled by a certain vehicle varies directly to the amount of fuel the vehicle consumes. The vehicle traveled 90 m
olga_2 [115]

Answer:

The vehicle covers 126 miles on 7 gallons of fuel.

Step-by-step explanation:

Given:

The distance traveled is directly proportional to the amount of fuel.

For F gallons of fuel distance traveled D miles can be given as:

D ∝ F

D=kF

where k is constant of proportionality.

The vehicle covers D=90 miles on F=5 gallons.

So

90=k(5)

Dividing both sides by 5.

\frac{90}{5}=\frac{k(5)}{5}

18=k

∴ k=18

When F=7 gallons

D=(18)(7)

D=126 miles

∴ The vehicle covers 126 miles on 7 gallons of fuel.

4 0
3 years ago
Other questions:
  • What is the perimetee of a square with the area of 121
    7·1 answer
  • The mass of the earth is 5.97 ✕ 1024 kg, and the mass of the moon is 7.35 ✕ 1022 kg. the distance of separation, measured betwee
    5·1 answer
  • Ebru has a standard deck of cards. The deck has 52 total cards and contains 4 suits: hearts, clubs, diamonds, and
    14·1 answer
  • Alberto feeds his fish the same amount of food each day. A 2 ounce jar of fish food flakes has enough food for Alberto to feed h
    12·1 answer
  • PLSSSS!!!! HELP ME PLS!!!! I WILL MARK U!!!!!
    10·1 answer
  • Trigonometry!!!! find y round to the nearest tenth! ​
    10·1 answer
  • Sally had 1/2 of a candy bar. She gave half of what she had to Frank. Frank gave half of HIS piece to Peter. How much of a candy
    8·1 answer
  • (6 points) which answer describe the shape below? Check all that apply
    9·2 answers
  • I will brainlist HELP
    13·1 answer
  • The graph below shows the number of words that Chanel can text each minute. Which of the following equations has a greater rate
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!