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
kodGreya [7K]
3 years ago
15

Work out the volume of the shape​

Mathematics
1 answer:
pashok25 [27]3 years ago
7 0

Answer:

\large\boxed{V=\dfrac{1,421\pi}{3}\ cm^3}

Step-by-step explanation:

We have the cone and the half-sphere.

The formula of a volume of a cone:

V_c=\dfrac{1}{3}\pi r^2H

r - radius

H - height

We have r = 7cm and H = (22-7)cm=15cm. Substitute:

V_c=\dfrac{1}{3}\pi(7^2)(15)=\dfrac{1}{3}\pi(49)(15)=\dfrac{735\pi}{3}\ cm^3

The formula of a volume of a sphere:

V_s=\dfrac{4}{3}\pi R^3

R - radius

Therefore the formula of a volume of a half-sphere:

V_{hs}=\dfrac{1}{2}\cdot\dfrac{4}{3}\pi R^3=\dfrac{2}{3}\pi R^3

We have R = 7cm. Substitute:

V_{hs}=\dfrac{2}{3}\pi(7^3)=\dfrac{2}{3}\pi(343)=\dfrac{686\pi}{3}\ cm^3

The volume of the given shape:

V=V_c+V_{hs}

Substitute:

V=\dfrac{735\pi}{3}+\dfrac{686\pi}{3}=\dfrac{1,421\pi}{3}\ cm^3

You might be interested in
If r is the radius of a circle and d is its diameter which of the following is an equivalent formula for the circumference c = 2
Ratling [72]

Answer:

C

Step-by-step explanation:

C=2pier or pied

8 0
3 years ago
Read 2 more answers
Start a conversation/argument in the comments
Digiron [165]

Answer:

What do we start a convo or an argumnet about...and why?

Step-by-step explanation:

but heres one : Donald Trump or Biden?

heheheheheheh

5 0
3 years ago
Read 2 more answers
Omar deposits $8000 into an account pays simple interest at a rate of 3% per year. how much interest will be paid in the first 5
forsale [732]
The amount of interest that will be paid in the first 5 years is $120.00
8 0
3 years ago
Please help with this question!
Nostrana [21]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

a ) Two matrices cannot be multiplied.

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

b )

The answer is | 20 - 4 - 12 |

| 8 2 19 - |

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

7 0
3 years ago
What is the surface area of the following triangular prism?
Allisa [31]
This question was answered but no solution was given. 

We already solve for the B or area of the triangular base which was 5.25cm².

There are 2 triangular faces in the prism so 5.25cm² x 2 = 10.50cm²
There are 3 rectangular face in the prism, we need to get the area of each.

area of a rectangle = length x width
rectangle 1: 5 cm x 4 cm = 20 cm²
same dimension with rectangle 2. so, area is 20 cm² also
rectangle 3: 5 cm x 2.8 cm = 14 cm²

let us all add up the area of each surface.
2 triangle = 10.50 cm²
3 rectangles = 20 cm² + 20 cm² + 14 cm² = 54 cm²

10.50 cm² + 54 cm² = 64.50 cm²
8 0
3 years ago
Other questions:
  • The converse of a conditional statement is "If the sum of the exterior angles of a figure is 360°, then the figure is a polygon.
    10·2 answers
  • Find the measure of the indicated angle
    14·1 answer
  • 795 rounded to the nearest million
    6·1 answer
  • Factor the expression 10n^2 +n -3
    9·1 answer
  • SOMEONE QUICKLY DO THIS PLEASE!!!
    14·1 answer
  • A taxi company had 12 taxis originally. After expanding the company now has 18 taxis. Is this an increase or decrease? What was
    7·1 answer
  • Choose all the polynomials that are in standard form?
    12·2 answers
  • Write a quadratic function f whose only zeros are -3 and -12
    5·1 answer
  • (50 points really need help on this it's the last question)
    12·2 answers
  • Find the value of x.<br><br> No links please!
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!