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3 years ago

What happens to the volume of a sphere when its diameter is doubled?

Mathematics

2 answers:

slega [8]3 years ago

6 0

with a scale factor

length becomes scale factor * length

area becomes scale factor^2 * area

volume becomes scale factor ^3 * volume

if the diameter is doubled the scale factor is 2

Volume becomes 2^3 * volume

the volume increases by a factor of 8

Ganezh [65]3 years ago

6 0

double the radius, volumes increases 8 times, or 800%

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You are an urban planner assessing the growth of a city. Ten years ago, the city's population was 249,583. Its current populatio

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3 years ago

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1. The perimeter of a piece of paper is 18 cm.

OlgaM077 [116]

Answer:

a) length = 3 and width = 6

Area of the rectangle = 3 × 6 = 18 cm²

b) length = 7 and width = 2

Area of the rectangle = 7 × 2 = 14 cm²

c) length = 5 and width = 4

Area of the rectangle = 5× 4 = 20 cm²

Step-by-step explanation:

Given perimeter of the paper = 18 cm

we know that the paper has a rectangle shape

The perimeter of the rectangle = 18 cm

2( l + w ) = 18

we choose length = 3 and width = 6

The perimeter of the rectangle = 2( 3+6) = 18 cm

Area of the rectangle = 3 × 6 = 18 cm²

we choose length = 7 and width = 2

The perimeter of the rectangle = 2( 7+2) = 18 cm

Area of the rectangle = 7 × 2 = 14 cm²

we choose length = 5 and width = 4

The perimeter of the rectangle = 2( 5+4) = 18 cm

Area of the rectangle = 5× 4 = 20 cm²

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3 years ago

A gallon of gas costs $2.93 per gallon. Marcie's car holds 10 gallons. If her tank is empty, how many will it cost to fill it?

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3 years ago

The cost to manufacture t shirts can be represented by the function c(x)=10.5x complete the following statement about the functi

Advocard [28]

For this case we have:

Cost of manufactures of T-shirts $C(x)=10.5x$

where x represents the number of T-shirts

Part A:

Substituting $x = 8$ in the total cost equation you have to:

$C (8) = (10.5) (8)\\\\C (8) = 84\\$

Thus, the cost of 8 shirts will be $C (8) = 84\\$

Part B:

If $x = 12$ then

$C (12) = (10.5) (12)\\\\C (12) = 126\\$

Thus, the cost of 12 shirts will be $C (12) = 126\\$

Answer:

$C (8) = 84\\\\C (12) = 126\\\\$

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3 years ago

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