All categories

3 years ago

Please break this down for me!!!

Mathematics

1 answer:

andrew-mc [135]3 years ago

3 0

Answer: volume = 4275π m³

Step-by-step explanation:

The composite figure shown in the diagram is made up of a hemisphere at the top and a cone at the bottom.

Therefore,

Volume = volume of hemisphere + volume of cone.

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

Volume = 2/3πr³

Diameter of hemisphere = 30m

Radius = diameter/2 = 30/2 = 15m

Volume of hemisphere = 2/3 × π × 15³ = 2250πm³

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

Volume = 1/3πr²h

h = height of cone = 33m

r = 15 m

Volume = 1/3 × π × 15² × 33

Volume = 2475π m³

Volume of the composite figure is

2250π + 2475π = 4275π m³

You might be interested in

A transversal intersects two parallel lines. The measures of a pair of alternate interior angles are 5v and 2w. The measures of

olya-2409 [2.1K]

Answer:

w=15

v=6

Step-by-step explanation:

Interior Angle Theroum , we can write

5 v = 2 w (1)

The measures of a pair of same-side exterior angles are supplementary

10 w + 5 v= 180 (2)

substitute 1 from 2

10 w + 2 w = 180

12 w = 180

w=180/12

w=15

The measures of a pair of alternate interior angles are

5 v=2 w

5 v=2(15)

5 v=30

v=30/5

v=6

5 0

3 years ago

A department store has a discount on shoes based on a percentage of the price. Suppose one pair of shoes is marked down from 80

AysviL [449]

Answer:

Discounted price = $160

Step-by-step explanation:

Let x be the discounted price of shoes.

Given:

A department store has a discount on shoes based on a percentage of the price.

and marked down on one pair of shoes is $80 to $64.

So, the discounted rate = 80 - 64 = 16

therefore, the percent of discount is.

% value $=\frac{discounted\ rate}{original\ rate}\times 100$

% value $=\frac{16}{80}\times 100$

% value $=\frac{16\times 100}{80}$

% value $=\frac{16\times 10}{8}$

% value $=2\times 10$

% value = 20%

Find the price for a $200 pair of shoes after the same discount is applied.

So the discount is 20% and the discounted price of the shoe is 80% of $200.

% value $=\frac{discounted\ price}{original\ price}\times 100$

80 $=\frac{x}{200}\times 100$

$x=\frac{80\times 200}{100}$

$x=80\times 2$

x = $160

Therefore, the discounted price of the shoe is $160.

4 0

4 years ago

SOMEONE PLEASE HELP ME!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

stiv31 [10]

8,9,10

That is the answer

4 0

3 years ago

Read 2 more answers

What is the range?<br> -3 -8 -5 0 1 -2 -5 4 6

ivanzaharov [21]

Answer:

Step-by-step explanation:

Range = Maximum value - minimum value

= 6 - (-8)

= 6 + 8

= 14

7 0

3 years ago

Read 2 more answers

Renee is walking in a charity walk. Her older cousin pledged $7 for every 1 lap she walks. Her aunt pledged $9 for every 1 lap s

amm1812

Show the answer choices

4 0

3 years ago

Read 2 more answers