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2 years ago

A bunch bowl is in the shape of a hemisphere. The top rim has a circumference of 116cm.

1 answer:

8 0

The hemisphere is half the volume of a sphere. Since we are given the circumference, we can solve for the radius of the sphere. That is
$C=2\pi r$

$116\:cm=2\pi r$

$r=\frac{116}{2\pi }=18.462\:cm$

Part A
We can now compute for the volume of the hemisphere.
$V=\frac{1}{2}\times \frac{4}{3}\pi r^3=\frac{1}{2}\times \frac{4}{3}\pi \left(18.462\right)^3=13179\:cm^3$

Part B
We just need to convert the volume into its corresponding gallons
$13179\:cm^3\times \frac{1\:Liter}{1000\:cm^3}\times \frac{1\:gallon}{3.785\:Liters}=3.5\:gallons$

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The percent decrease from 12 to 9 is equal to the percent decrease from 40 to what number

Zina [86]

(12 - 9) / 12 = (40 - x) / 40
3/12 = (40 - x) / 40
40(1/4) = 40 - x
10 = 40 - x
10 - 40 = -x
-30 = -x
30 = x <=== percent decrease from 40 to 30

8 0

2 years ago

wahaj buy a pizza for rs 800 a week later the same pizza cost re 900 when wahaj ask the manager for the reason he explains that

vazorg [7]

Answer:

it might 1700

Step-by-step explanation:

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2 years ago

The height of a cylinder is twice the radius of its base. A cylinder has a height of 2 x and a radius of x. What expression repr

mrs_skeptik [129]

<u>Given</u>:

Let x represents the radius of the cylinder.

Given that the height of the cylinder is twice the radius of its base.

The height of the cylinder is 2x.

We need to determine the volume of the cylinder.

<u>Volume of the cylinder:</u>

The volume of the cylinder can be determined using the formula,

$V=\pi r^2h$

Substituting r = x and h = 2x, we get;

$V=\pi (x)^2(2x)$

Simplifying, we get;

$V=\pi x^2(2x)$

$V=2\pi x^3$

Thus, the expression that represents the volume of the cylinder is 2πx³ cubic units.

Hence, Option b is the correct answer.

8 0

2 years ago

Read 2 more answers

What is the simplest form of RootIndex 3 StartRoot 27 a cubed b Superscript 7 Baseline EndRoot?

Vinvika [58]

Answer: $3ab\sqrt[3]{b^4}$

Step-by-step explanation:

Given the following expression:

$\sqrt[3]{27a^3b^7}$

You need to apply the Product of powers property, which states that:

$(a^m)(a^n)=a^{(m+n)$

Then, you can rewrite the expression as following:

$=\sqrt[3]{27a^3b^4b^3}$

The next step is to descompose 27 into its prime factors:

$27=3*3*3=3^3$

Now you must substitute $3^3$ inside the given root. Then:

$=\sqrt[3]{3^3a^3b^4b^3}$

You need to remember that, according to Radicals properties:

$\sqrt[n]{a^n}=a^{\frac{n}{n}}=a^1=a$

Therefore, the final step is to apply this property in order to finally get the expression is its simplest form. This is:

$=3^{\frac{3}{3}}a^{\frac{3}{3}}b^{\frac{4}{3}}b^{\frac{3}{3}}=3ab^{\frac{4}{3}}b=3ab\sqrt[3]{b^4}$

3 0

2 years ago

Read 2 more answers

this past Sunday, the giants scored 9 less than twice the cowboys. the packers scored 14 points more than the giants. if the tea

Grace [21]

Let the score of cowboys is x
and giants make score 9 which is twice less than the cowboys score so
giants score will be = 2x -9
and packers scored 14 more than giants that is (2x - 9) + 14
now sum of their scores is equal to 81 it means:
x + (2x - 9) + (2x -9) + 14 = 81
x + 2x - 9 + 2x - 9 + 14 = 81
5x = 81 + 4
5x = 85
x = 17
packers scored = (2x - 9) + 14
= 2 (17) -9 + 14
=38 + 5 = 43 points

5 0

2 years ago