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3 years ago

Volume of sphere with radius of 6

Mathematics

2 answers:

viktelen [127]3 years ago

8 0

Answer is provided in the image attached.

Solnce55 [7]3 years ago

5 0

Answer:

904.8 cm rounded (904.78 cm^3) to the nearest tenth.

Step-by-step explanation:

V= 904.8 cm rounded (904.78 cm^3) to the nearest tenth.

Step-by-step explanation:

The volume of a sphere is given as 4/3πr^3

There is only one variable, the radius, which we are given in the problem.

since the radius is 6 cm, we can plug that in to the formula

4/3π6^3

Put this into the calculator, and we see that the volume is

904.8 cm rounded (904.78 cm^3) to the nearest tenth.

You might be interested in

Round to the nearest tenth.

laila [671]

Answer:

8.2 units

Step-by-step explanation:

Given that the only information for our triangle are 2 sides and 1 angle, we must use the Law of Cosines to find side BC

Recall the Law of Cosines

$a^2=b^2+c^2-2bc\cdot cos(A)$

Identify angles and sides

$m\angle A=23^\circ\\a=BC=?\\b=AC=14\\c=AB=6$

Solve for side "a"

$a^2=b^2+c^2-2bc\cdot cos(A)\\\\a^2=14^2+6^2-2(14)(6)\cdot cos(23^\circ)\\\\a^2=196+36-168cos(23^\circ)\\\\a^2=222-168cos(23^\circ)\\\\a=\sqrt{222-168cos(23^\circ)}\\ \\a\approx8.2$

Therefore, the length of line segment BC is about 8.2 units

8 0

2 years ago

The given information were that Robi has run the first 4 miles of a race in 30 minutes and she reached the 6 mile point after 45

strojnjashka [21]

Answer:

Positive

Step-by-step explanation:

Slope: (6-4)/(45-30)

= 2/15

6 0

3 years ago

A _______ is a variable, an integer or a product of variables and integers.

Assoli18 [71]

Product variation .

3 0

2 years ago

I really need help Please

kumpel [21]

Answer:

The tree was 5 feet when he bought it and it grew one foot every year.

I believe the equation would be h=t+5

Step-by-step explanation:

The answer would be h=t+5 because the height equals the year plus five.

7 0

2 years ago

The mayor of a town has proposed a plan for the annexation of an adjoining bridge. A political study took a sample of 1500 voter

Nadusha1986 [10]

Answer:

p-value of the statistics = 0.0096

Step-by-step explanation:

Given - The mayor of a town has proposed a plan for the annexation of an adjoining bridge. A political study took a sample of 1500 voters in the town and found that 47% of the residents favored annexation. Using the data, a political strategist wants to test the claim that the percentage of residents who favor annexation is above 44%.

To find - Determine the P-value of the test statistic.

Proof -

Given that,

H0 : p = 0.44

Ha : p > 0.44

Now,

Test Statistics is

z = (p bar - p)/ sqrt(p(1-p)/n)

= (0.47 - 0.44) / sqrt(0.44(1-0.44)/1500)

= 2.34

⇒z = 2.34

So,

p-value = P(Z > z)

= P(Z > 2.34)

= 0.0096

⇒p-value = 0.0096

7 0

3 years ago