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]
3 years ago
7

I need to find the surface area and volume of all three figures. If you could provide what equations you used to I will be grate

ful :)
Thank you <3

Mathematics
1 answer:
Margarita [4]3 years ago
5 0

Answer:

Part 1) <em>Sphere</em> The surface area is equal to SA=196\pi\ m^{2} and the volume is equal to V=\frac{1,372}{3}\pi\ m^{3}

Part 2) <em>Cone</em> The surface area is equal to SA=(16+4\sqrt{65})\pi\ units^{2} and the volume is equal to V=\frac{112}{3}\pi\ units^{3}

Part 3) <em>Triangular Prism</em> The surface area is equal to SA=51.57\ mm^{2} and the volume is equal to V=17.388\ mm^{3}

Step-by-step explanation:

Part 1) The figure is a sphere

a) Find the surface area

The surface area of the sphere is equal to

SA=4\pi r^{2}

we have

r=14/2=7\ m ----> the radius is half the diameter

substitute

SA=4\pi (7)^{2}

SA=196\pi\ m^{2}

b) Find the volume

The volume of the sphere is equal to

V=\frac{4}{3}\pi r^{3}

we have

r=14/2=7\ m ----> the radius is half the diameter

substitute

V=\frac{4}{3}\pi (7)^{3}

V=\frac{1,372}{3}\pi\ m^{3}

Part 2) The figure is a cone

a) Find the surface area

The surface area of a cone is equal to

SA=\pi r^{2} +\pi rl

we have

r=4\ units

h=7\ units

Applying Pythagoras Theorem find the value of l (slant height)

l^{2}=r^{2} +h^{2}

substitute the values

l^{2}=4^{2} +7^{2}

l^{2}=65

l=\sqrt{65}\ units

so

SA=\pi (4)^{2} +\pi (4)(\sqrt{65})

SA=16\pi +4\sqrt{65}\pi

SA=(16+4\sqrt{65})\pi\ units^{2}

b) Find the volume

The volume of a cone is equal to

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

we have

r=4\ units

h=7\ units

substitute

V=\frac{1}{3}\pi (4)^{2}(7)

V=\frac{112}{3}\pi\ units^{3}

Part 3) The figure is a triangular prism

a) The surface area of the triangular prism is equal to

SA=2B+PL

where

B is the area of the triangular base

P is the perimeter of the triangular base

L is the length of the prism

<em>Find the area of the base B</em>

B=\frac{1}{2} (2.7)(2.3)=3.105\ mm^{2}

<em>Find the perimeter of the base P</em>

P=2.7*3=8.1\ mm

we have

L=5.6\ mm

substitute the values

SA=2(3.105)+(8.1)(5.6)=51.57\ mm^{2}

b) Find the volume

The volume of the triangular prism is equal to

V=BL

where

B is the area of the triangular base

L is the length of the prism

we have

B=3.105\ mm^{2}

L=5.6\ mm

substitute

V=(3.105)(5.6)=17.388\ mm^{3}

You might be interested in
Can someone please help with these two questions? (Or at least one if you can)
Nadya [2.5K]

Answer:

99.7

No

Step-by-step explanation:

a unit rate is for 1 item. So a one instead of 3

5 0
3 years ago
Read 2 more answers
I will give brainlist. its math 2 honor
pshichka [43]

Answer:

option 2

Step-by-step explanation:

I did this already

5 0
2 years ago
1.6 hours to 0.95 hour increase and decrease?? also show the work.. thxs!
notka56 [123]

Answer:

Decrease

Step-by-step explanation:

If you look at the numbers in general 1.6 has a one in it. Meanwhile 0.95 is part of one. Think of it as money. Which would you rather have $1.60 or 0.95 cents.

5 0
2 years ago
Please help me! I need this done in 10 mins.
swat32

Answer:

I'm pretty sure the answer is 14m

Step-by-step explanation:

All you have to do is add the numbers together.

Hope this helps!

7 0
3 years ago
Read 2 more answers
3x + 5y = 27
shusha [124]

Answer:

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • (x^2+3y-3) - (-2x^2+3y-1)
    5·1 answer
  • Answer asap and right plz
    12·1 answer
  • A car is traveling at a rate of 93 miles per hour. What is the car's rate in miles per minute? How many miles will the car trave
    6·1 answer
  • A 12 oz bag of bird seed cost $3.12 and a 16 oz bag of bird seed cost $3.84 which is the better deal
    5·2 answers
  • Zoe has a collection 78 movies. Each one cost 29.99. How much did she spend on all her movies.
    14·1 answer
  • Helpppp in 8 asap plzz
    7·1 answer
  • Latoya is on her way home in her car. She has driven 30 miles so far, which is five-sixths of the way home. What is the total le
    11·2 answers
  • Will give brainliest for correct answer
    5·1 answer
  • 1.Given a standard six-sided die, what is the probability of rolling a 7? Please use a fraction bar(/) OR a colon (:) to represe
    5·1 answer
  • PLEASEE HELPPP
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!