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
Gwar [14]
3 years ago
7

Find the volume of the figure.

Mathematics
2 answers:
posledela3 years ago
7 0

Answer:

The answer to your question is The volume in terms of π is 1944π m³

Step-by-step explanation:

Data

diameter = 18 m

height = 19 m

Process

1.- Calculate the volume of the cone

Formula

Volume = πr²h / 3

radius = 18/2

          = 9 m

-Substitution

Volume = π(9)²(19)/3

-Simplification

Volume = π(81)(19)/3

-Result

Volume = 513 π m²

2.- Calculate the volume of a semi-sphere              

- Formula

Volume = 4/6 πr³

- Substitution

Volume = 4/6 π (9)³

-Simplification

Volume = 4/6 π (729)

-Result

Volume = 486π

3.- Calculate the total volume

Volume = 513π + 486π

Volume = 999π m³

LenaWriter [7]3 years ago
3 0

Answer: volume of the figure is 999πm³

Step-by-step explanation:

The composite figure consists of a hemisphere and a cone.

The formula for determining the volume of a hemisphere is expressed as

Volume = 2/3πr³

Where

r represents the radius of the hemisphere

π is a constant whose value is 3.14

From the information given,

Diameter of hemisphere = radius of cone = 18 m

Radius = diameter/2 = 18/2 = 9m

Volume if hemisphere =

2/3 × π × 9³ = 486π m³

The formula for determining the volume of a cone is expressed as

Volume = 1/3πr²h

Height = 19m

Volume = 1/3 × π × 9² × 19 = 513πm³

Volume of the composite figure = volume of hemisphere + volume of cone. It becomes

486π + 513π = 999πm³

You might be interested in
An ice cream shop sells 6 different flavors, 4 toppings, and 3 types of cones. How many different combinations of two different
Bas_tet [7]

Answer:

360 combinations

Step-by-step explanation:

To calculate the number of different combinations of 2 different flavors, 1 topping, and 1 cone, we are going to use the rule of multiplication as:

<u>               6          </u>* <u>        5             </u> * <u>            4           </u>* <u>          3             </u>= 360

       1st flavor           2nd flavor              topping              cone

Because first, we have 6 possible options for the flavor, then we only have 5 possible options for the 2nd flavor. Then, we have 4 options for the topping and finally, we have 3 options for the cone.

It means that there are 360 different combinations of two different flavors, one topping, and one cone are possible

6 0
2 years ago
ms evans went to the store to buy some cupcakes. she brought 129 cupcakes. she wants to put 5 cupcakes in each box.how many boxe
NeTakaya
129 divided by 5 is equal to 25 with a remainder of 4. 

This means that she will need a total of 26 boxes, but only 25 of them will have 5 cupcakes in them. The last one will have 4 cupcakes.
6 0
2 years ago
Read 2 more answers
The table shows the price for different numbers of board games:
zlopas [31]

Answer:

We conclude that the price is 3.5 times the number of board games.

Hence, option B is true.

Step-by-step explanation:

We know that when y varies directly with x, the equation is

y ∝ x

y = kx

k = y/x

where 'k' is called the proportionality constant.

From the table,

For the point (2, 7)

k = y/x

  = 7/2

  = 3.5

For the point (4, 14)

k = y/x

   = 14 / 4

   = 7/2

    = 3.5

For the point (5, 17.50)

k  = y/x

   = 17.5 / 5

   = 3.5

For the point (9, 31.50)

k  = y/x

   = 31.50 / 9

   = 3.5

From the above calculations, we computed that the value of the proportionality constant remains the same.

Thus, the table of numbers represents a proportional relationship.

Therefore, the equation becomes

y = kx

The price of 2 board game

y = 3.5 (2)

  = 7

The price of 4 board game

y = 3.5 (4)

  = 14

Therefore, we conclude that the price is 3.5 times the number of board games.

Hence, option B is true.

6 0
2 years ago
A pizza had 9/10 left before Lucas ate 4/5 of the pizza. How much pizza is left over
Norma-Jean [14]
1/10 is left.

Explanation:

First we need to find a common denominator. Since 5×2=10, if we multiply 4/5 by 2/2, we will be able to subtract that from 9/10.

4/5×2/2= 8/10. Then if we subtract that from the 9/10 left of the pizza, we get 1/10, the amount remaining.

Hope this helps :)
8 0
2 years ago
Read 2 more answers
A typist can type 4800 words per hour. How many words can she type in 1 minute?
Colt1911 [192]

Answer: 80

1 hour= 60mins

So to know how many words can she type in 1 min, we do the math "4800 : 60"

5 0
2 years ago
Other questions:
  • Use the digits 2,3,and 5 to create a fraction and a whole number with a product greater than 2
    5·1 answer
  • a student randomly chooses one pen from a box containing 1 black, 3 red, and 6 blue pens. what is the probability that the stude
    14·1 answer
  • I need help As Soon As possible!
    11·1 answer
  • Given two dependent random samples with the following results:
    7·1 answer
  • Which unit of measure would be appropriate for the volumeof a sphere with the radius of 2 meters
    11·2 answers
  • How to change a fraction to a percent
    15·2 answers
  • Which of the following expressions is not equal to 12?<br> |-12|<br> 2|6|<br> -|12|
    7·1 answer
  • How many tenths are in 8.32?
    11·2 answers
  • What is the equation in slope intercept form of the line that passes through the points (-4, 47) and (2, -16)?
    7·1 answer
  • What is the answer what is q
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!