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
Pie
3 years ago
9

Brainiest If Correct + 50pts ---The cylinder with base radius 5 and height 12 is inscribed in a right rectangular prism. Find th

e total surface area and the volume of the prism.

Mathematics
1 answer:
Romashka [77]3 years ago
4 0

Answer:

SA = 680 units^2

V =1200 unit^3

Step-by-step explanation:

If the radius is 5 then the diameter is 2r = 2*5 = 10

The height would remain the same

Surface area of a prism is given by

SA = 2 (lw+lh+hw)

l =d = 10   w = d = 10   h = 12

SA = 2 ( 10*10 + 10 * 12+ 12* 10)

SA = 2( 100+120+120)

SA = 2(340)

SA = 680 units^2

V = l*w*h = 10*10*12 =1200 unit^3

You might be interested in
Can you someone help me please
expeople1 [14]
It is 2. (4x - 1) which is false!
6 0
3 years ago
Plz help it’s important
m_a_m_a [10]

Answer:

  • hemisphere volume: 262 m³
  • cylinder volume: 942 m³
  • composite figure volume: 1204 m³

Step-by-step explanation:

A. The formula for the volume of a hemisphere is ...

  V = (2/3)πr³

For a radius of 5 m, the volume is ...

  V = (2/3)π(5 m)³ = 250π/3 m³ ≈ 261.799 m³

__

B. The formula for the volume of a cylinder is ...

  V = πr²h

For a radius of 5 m and a height of 12 m, the volume is ...

  V = π(5 m)²(12 m) = 300π m³ ≈ 942.478 m³

__

C. Then the total volume is ...

  V = hemisphere volume + cylinder volume

  V = 261.799 m³ +942.478 m³ = 1204.277 m³

__

Rounded to the nearest integer, the volumes are ...

  • hemisphere volume: 262 m³
  • cylinder volume: 942 m³
  • composite figure volume: 1204 m³

_____

As a rule, you only want to round the final answers. Here, the numbers are such that rounding the intermediate values still gives the correct final answer. That is not always the case.

6 0
3 years ago
What is 3x-1 divided by 1/2 equal
aniked [119]
The answer is -1.5. Hope this helps
3 0
3 years ago
Find all solutions to the equation in the interval [0, 2pi). COS X = sin 2x​
Lera25 [3.4K]

Answer:

Step-by-step explanation:

cos x=sin 2x

sin 2x-cos x=0

2 sin x cos x-cos x=0

cos x(2 sin x-1)=0

either cos x=0

x=\frac{\pi }{2},\frac{3\pi }{2}

or

2 sin x-1=0

sin x=\frac{1}{2} =sin (\frac{\pi }{6}),sin(\pi -\frac{\pi }{6} )\\x=\frac{\pi }{6} ,\frac{5 \pi }{6}

6 0
2 years ago
What is 0.418 in word form
liberstina [14]
Four hundred eighteen thousandths.......................
8 0
3 years ago
Read 2 more answers
Other questions:
  • You are interested in a college that accepts 1,200 students each year. Last year, the college accepted 64% of the students who a
    13·1 answer
  • Which statement about the local maximum and mínimums for the given function are true check all that apply
    9·1 answer
  • Three less than 11 times a number is the same as 9 less than twice the number
    11·1 answer
  • The diagonal of a screen is 152 cm the length measures 132 cm what is the height
    10·1 answer
  • What is .8 converted into a fraction?
    8·1 answer
  • The circumference of a circle is 106.81 yards. Finds the diameter of the circle to the nearest tenth
    10·1 answer
  • Has vertices
    15·1 answer
  • Question 10 of 12
    7·1 answer
  • Graph the equation. y = − 5/4 ( x − 1 ) ( x + 3 )
    15·1 answer
  • If you eat a diet with 2,000 kilocalories and 45 percent of those calories come from protein, about how many grams of protein di
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!