All categories

3 years ago

The radius of a sphere is 3 inches. Which represents the volume of the sphere?

Mathematics

1 answer:

uranmaximum [27]3 years ago

4 0

Answer:

volume of sphere = 113.14inches³ or

36πinces³

Step-by-step explanation:

given the radius of a sphere = 3inches

volume of the sphere = ?

π = 3.14v 0r 22/7

recall, the formula for finding the volume of a sphere is given to be = 4/3 πr³

so,

volume of sphere = 4/3 πr³

volume of sphere = 4/3 × 22/7 × ( 3)³

volume of sphere = 4/3 × 22/7 × 27

volume of sphere = (4 × 22 × 9)/7

volume of sphere = 113.14inches³ or 36πinces³

You might be interested in

Hannah ran 200 feet during recess. Juanita ran 350 feet during recess. In yards, how much further did Juanita run than Hannah?

ss7ja [257]

Juanita ran 240 feet than Hannah

8 0

2 years ago

Question 6 (1 point)

Shalnov [3]

2. Dividing exponential expression with the same base is what the left hand fractional expression is. Z^8/Z^?=z^6. Since all the bases are the same. To get the exponential power 6 on the right we subtract the denominator’s (bottom part of the fraction) exponential power (on the left) from the numerator’s (top part) exponential power.

Then, 8 - ? = 6? 2 is the only number to make the left equal the right side. This, z^8/z^2=z^6

8 0

2 years ago

What is the first step to take when solving this linear system of equations by the addition-subtraction method? 2x + 4y = 3 x +

Free_Kalibri [48]

The right answer is Option D.

Step-by-step explanation:

Given equations are;

2x+4y=3 Eqn 1

x+3y=13 Eqn 2

When we use subtraction-addition method, we make one of the variables same with opposite signs so that only one variable remains after addition or subtraction.

In the given problem, we will multiply Eqn 2 with "-2" so that the x variables become equal and then we can add both the equations and solve for y.

Therefore,

The first step will be to multiply the second equation by -2 to solve the linear system of equations.

The right answer is Option D.

Keywords: linear equations, subtraction

Learn more about linear equations at:

#LearnwithBrainly

5 0

2 years ago

A philanthropist pledges to donate 10% of a fund each year. If the fund initially has $450,000 how much will

Ann [662]

After 7 years fund balance will be $2152336.05 if the philanthropist pledges to donate 10% of a fund each year.

<h3>What is an exponential function?</h3>

It is defined as the function that rapidly increases and the value of the exponential function is always a positive. It denotes with exponent. $\rm y = a^x$

where a is a constant and a>1

We have:

A philanthropist pledges to donate 10% of a fund each year.

We can find the amount left after 7 years as follows:

A = 450000(1 - 0.1)⁷

10% of a fund each year.

Rate r = 10% = 0.1

A = 450000(0.9)⁷

A = $2152336.05

Thus, after 7 years fund balance will be $2152336.05 if the philanthropist pledges to donate 10% of a fund each year.

Learn more about the exponential function here:

brainly.com/question/11487261

#SPJ1

6 0

1 year ago

Find [5(cos 330 degrees + I sin 330 degrees)]^3

earnstyle [38]

Given a complex number in the form:
$z= \rho [\cos \theta + i \sin \theta]$
The nth-power of this number, $z^n$ , can be calculated as follows:

- the modulus of $z^n$ is equal to the nth-power of the modulus of z, while the angle of $z^n$ is equal to n multiplied the angle of z, so:
$z^n = \rho^n [\cos n\theta + i \sin n\theta ]$
In our case, n=3, so $z^3$ is equal to
$z^3 = \rho^3 [\cos 3 \theta + i \sin 3 \theta ] = (5^3) [\cos (3 \cdot 330^{\circ}) + i \sin (3 \cdot 330^{\circ}) ]$ (1)
And since
$3 \cdot 330^{\circ} = 990^{\circ} = 2\pi +270^{\circ}$
and both sine and cosine are periodic in $2 \pi$ , (1) becomes
$z^3 = 125 [\cos 270^{\circ} + i \sin 270^{\circ} ]$

6 0

3 years ago