All categories

3 years ago

The radius of a sphere is multiplied by 7. What effect does this have on the volume of the sphere?

Mathematics

1 answer:

elena55 [62]3 years ago

7 0

Answer:

The new volume is 7^3 or 343 times the old volume

Step-by-step explanation:

The original sphere has a volume of

V = 4/3 pi r^3

The radius is multiplied by 7

The new volume is

V = 4/3 pi (7r) ^3

V = 4/3 pi (7)^3 r^3

The new volume is 7^3 or 343 times the old volume

You might be interested in

A real-estate company appraised the market value of 36 homes in Lyttelton and found that the sample mean and standard deviation

pantera1 [17]

Solution :

Sample size Sample mean Sample S.D.

Sample 1 $n_1=36$ $\bar{x}_1=150,000$ $s_1=17,000$

Sample 2 $n_2=45$ $\bar{x}_2=100,000$ $s_2=12,000$

$df = \frac{\left(\frac{s_1^2}{n_1}+\frac{s_2^2}{n_2}\right)^2}{\frac{1}{n_1-1}\left(\frac{s_1^2}{n_1}\right)^2+\frac{1}{n_2-1}\left(\frac{s_2^2}{n_2}\right)^2}$

= 60

Therefore, significance level, α = 0.1

Critical value, t* = 1.6706

So, the margin of error, $t^*=\sqrt{\frac{s_1^2}{n_1}+\frac{s_2^2}{n_2}}$

= 559.9896

Lower limit, $(\bar x_1-\bar x_2)-\text{(margin of error)}=44402.0104$

Upper limit, $(\bar x_1-\bar x_2)+\text{(margin of error)}=55597.9896$

Therefore 90% C.I. is (44402.0104, 55597.9896) or $44402.0104 < \mu_1 - \mu_2 < 55597.9896$

5 0

3 years ago

Solve the equation: 2m + 45 = 49

Amiraneli [1.4K]

Answer:

m=2

Step-by-step explanation:

2m=4

m=2

if my answer helps please mark as brainliest.

3 0

3 years ago

Read 2 more answers

Simplify. 5(22 - 9 · 2) - 2( 3 · 2 4) 7 a.-99 b.-83 c.-75 d.-71

Pachacha [2.7K]

Not completely sure on the symbols, but I think it is 5 x ( 22 - 9 x 2 ) - 2 ( 3 x 2 x 4 ) x 7 = 136. It doesn't really match the answers, so my advice is that you use a calculator for this one, or as the person/teacher who gave you the problem how to solve it.

8 0

3 years ago

By selling goods for $540, a trader makes a profit of 8%. She reduces her prices to $515. What is her percentage profit now?

dybincka [34]

Answer:

Her percentage profit is 3%

Step-by-step explanation:

In the case of 8% profit,

If the purchasing price is $100, the selling price is = $100 + $8 = $108

Now,

If the selling price is $108, the purchasing price is $100

If the selling price is $1, the purchasing price is $100/$108

If the selling price is $540, the purchasing price is ($100*$540)/$108 = $500

Again,

If she reduces the selling price to $515, the profit will be ($515-$500) =$15

Now,

If the purchasing price is $500, the profit is = $15

If the purchasing price is $1, the profit is = $15/$500

If the purchasing price is $100, the profit is = ($15*$100)/$500 = 3%

5 0

3 years ago

Which number produces an irrational number when added to

Delicious77 [7]

Answer: 0.555

Step-by-step explanation:

8 0

3 years ago