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3 years ago

What is the volume of the sphere?

Mathematics

1 answer:

pav-90 [236]3 years ago

7 0

Answer:

The formula for the volume of a sphere is V = 4/3 πr³.

Step-by-step explanation:

Surface area of sphere = 4πr2

Volume of a sphere = 4/3 πr3

You only need to know the radius to figure both the volume and surface area of a sphere.

Answers for surface area problems should always be in square units.

Answers for volume problems should always be in cubic units.

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Help with #7 and #8?

arsen [322]

Answer:

M(6,5) and G(2,9)

Step-by-step explanation:

$m = ( \frac{x1 + x2}{2}, \frac{y1 + y2}{2} )$

B(3,6)

C(9,4)

m = [(3+9)/2 , (6+4)/2]

= (6,5)

M(5,9)

H(8,9)

G(x,y)

[(x+8)/2 , (y+9)/2]=(5,9)

(x+8)/2 = 5

x+8 = 10

x = 2

(y+9)/2 = 9

y+9 = 18

y = 9

G(2,9)

(Correct me if i am wrong)

5 0

3 years ago

Add the two expressions.<br><br> 2x + 6 and 6x −1<br><br> Enter your answer in the box.

MA_775_DIABLO [31]

Answer:

8x +5

Step-by-step explanation:

The sum is found by combining "like" terms—those that have the same arrangement of variables.

The first expression, 2x +6, has terms 2x and 6.

The second expression, 6x -1, has terms 6x and -1.

In each case, the first term listed is first-degree in the variable x. These are "like" terms, so can be added:

... 2x +6x = (2+6)x = 8x

The second term listed in each case is a constant. These are "like" terms, so can be added:

... 6 + (-1) = 5

Then the sum of the given expressions is the sum of the results from adding like terms:

... 8x + 5

4 0

3 years ago

The two rectangular prisms are similar. What is the volume of the larger rectangular prism? 240 cm³ 540 cm³ 1620 cm³ 3240 cm³ A

Andreas93 [3]

Volume of a figure is measure of the space it occupies. The volume of the larger rectangular prism is given as: Option C: 1620 cm³

<h3>How to calculate volume of a rectangular prism?</h3>

If a rectangular prism has dimensions <u>a</u> unit, <u>b</u> unit, and <u>c</u> units, then its volume is given as

$V = a \times b \times c \: \rm unit^3$

<h3>What are similar figures?</h3>

They are scaled. It means, if two figures are similar, then we can get one figure from another by multiplying some constant value(same for one pair of similar figure) to its dimensions.

For example,

if for given case, one rectangular prism has got dimensions a, b, and c centimetres, then

the second rectangular prism, which is similar, let the scale factor is 'd',t then second prism's dimensions will be a x d units, b x d units, and c x d units.

For first prism(smaller), its one side is given to be 5 cm, let its other two sides be 'b' cm, and 'c' cm, then,

$60 \: \rm cm^3 = 5\times b\times c \\\\b\times c = \dfrac{60}{5} = 12$

Now, the larger prism has 15 cm corresponding side, thus, scale factor was 3 (since 15 is 3 times 5).

Thus, its dimensions would be 15, 3 x b, 3 x c

Thus, its volume would be

$15 \times 3 \times b \times 3 \times c = 135 \times b\times c = 135 \times 12 = 1620 \: \rm cm^3$

Thus,

The volume of the larger rectangular prism is given as: Option C: 1620 cm³

Learn more about volume of rectangular prism here:

brainly.com/question/21308574

5 0

3 years ago

Someone please help me with my homework

spin [16.1K]

Answer:
20700 feet per hour

Explanation:
Convert 345 feet per minute to 345 feet per hour.
First find how many minutes are in an hour:
60 minutes = 1 hour.
1 minute • 60 = 1 hour
345 feet • 60 = 20700 feet per hour.

3 0

3 years ago

Charlie and Daniella each began a fitness programme. On day one, they both ran 500m. On each subsequent day, Charlie ran 100m mo

alukav5142 [94]

Answer:

a) 2400m on the 20th day for Charlie.

1) 728.41m of 20th day for Daniella.

Didn't find n, sorry.

8 0

3 years ago