What is the volume and total surface area of a sphere with the radius 2.25in?

Mathematics

2 answers:

alexira [117]3 years ago

6 0

The volume is 15.89625

viktelen [127]3 years ago

4 0

Answer:

Step-by-step explanation:

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

Volume = (4/3)πr³

Where

r represents the radius of the sphere.

π is a constant whose value is 3.14

From the information given,

radius = 2.25 inches

Volume = 4/3 × 3.14 × 2.25³

Volume = 47.69 inches³

The formula for determining the total surface area of a sphere is expressed as

Total surface area = 4πr²

Therefore

Total surface area = 4 × 3.14 × 2.25²

= 63.9 inches²

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Find two numbers if their sum is 6.1 and their difference is 1.6

Radda [10]

For this case, the first thing we must do is define variables:
x: unknown number (1)
y: unknown number (2)
We now write the equations that model the problem:
their sum is 6.1:
$x + y = 6.1
$
their difference is 1.6:
$x - y = 1.6
$
Solving the system we have:
We add both equations:
$x + x = 6.1 + 1.6

2x = 7.7

x = 7.7 / 2

x = 3.85$
Then, we look for the value of y using any of the equations:
$x - y = 1.6

y = x - 1.6

y = 3.85 - 1.6

y = 2.25$
Answer:
The numbers are:
$x = 3.85

y = 2.25$