All categories

3 years ago

What is the volume of a sphere with a diameter of 4 meters? (Use 3.14 for π.)

Mathematics

1 answer:

Ann [662]3 years ago

8 0

Answer:

c.33.49 m^3

Step-by-step explanation:

Diameter = 4 meters

Radius = 4/2 = 2 meters.

Volume of sphere = (4/3)πr³

= (4/3)* 3.14 * 2 * 2 * 2

= (4 * 3.14 * 2 * 2 *2 ) / 3 = 100.48/3

= 33.49 m³

You might be interested in

Use a percent proportion or equation to answer: 150% of what number is 24

Delvig [45]

Answer is 36

150 • 24= 3,600

3,600/100= 36

4 0

3 years ago

What is the product of -4(-15)? *

Klio2033 [76]

Answer: 60

Step-by-step explanation: -4x-15=60

4 0

3 years ago

Read 2 more answers

4) Solve for x: 2x=8.

MatroZZZ [7]

4) x=4 -> divide by 2
5) y=9 -> add 2
6) z=2 -> multiply 2 times 1
7) a=10 -> add 7 then divide by 3
8) b=3 -> distributive property, add 1 to other side, and then divide by 8
9) c= -d +4 -> subtract +d+1 and put on other side to solve
10) m= 10/p+2 -> distrubutive property, subtract 2m on both sides to solve

8 0

3 years ago

How many grams of 0.5% hydrocortisone cream must be mixed with 180 g of 2.5 % cream to make a 1 % w/w hydrocortisone cream? HINT

Sophie [7]

Answer:

We need 540 grams of 0.5% hydrocortisone cream

Step-by-step explanation:

Lets call x the amount of grams needed. This means that the combined cream will have 180+x grams. We want x such that

x * 0.005 + 180*0.025 = (180+x)*0.01

Hence

0.005x + 4.5 = 1,8+0.01x

Lets put the x in the same side and take common factor

4.5-1.8 = 0.01x-0.005x

2.7 = (0.01-0.005)x = 0.005x

As a result

x = 2.7*0.005 = 540

We need 540 grams.

3 0

3 years ago

You are planning on applying to the Knirhsdaeh institute as a psychology counselor. They hire millions of psychologists around t

elena-14-01-66 [18.8K]

Answer:

The 98% of the confidence interval for the true average salary of Knirhsdaeh employees as a psychology counselor

(75.4206, 86.5794)

Step-by-step explanation:

Step(i):-

Given that the mean of the sample = $81 k

Given that the size of the sample 'n' = 23

Given that the standard deviation for the salaries is $13 k

Step(ii):-

98% of the confidence interval for the true average salary of Knirhsdaeh employees is determined by

 $(x^{-} - t_{0.02} \frac{S.D}{\sqrt{n} } , x^{-} + t_{0.02} \frac{S.D}{\sqrt{n} })$ 

Degrees of freedom = n-1 = 23-1 =22

 $t_{0.02} = 2.5083$ 

$(81 - 2.0583 \frac{13}{\sqrt{23} } , 81 + 2.0583 \frac{13}{\sqrt{23} } )$

( 81 - 5.57940 , 81 + 5.57940)

(75.4206, 86.5794)

Final answer:-

The 98% of the confidence interval for the true average salary of Knirhsdaeh employees as a psychology counselor

(75.4206, 86.5794)

7 0

3 years ago