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3 years ago

Find the volume of a sphere with a diameter 30 ft. Give your answer in terms of Pi.

Mathematics

1 answer:

Wittaler [7]3 years ago

4 0

Answer:

4500π cubic feet

Step-by-step explanation:

Formula for Sphere Volume V = (4/3)*π*r^3

radius = (1/2)*diameter = (1/2)*30feet = 15 feet

V = (4/3)* π * (15)^3 = 4500π cubic feet

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3 years ago

Use the given information to find the unknown value:y varies directly as the square of z. When x = 2, then y= 20. Find y when 2

Vladimir79 [104]

Answer

y = 45 when x = 3

Step-by-step explanation:

$\begin{gathered} \text{Given that y varies directly as the square of x} \\ \text{This implies that there is a positive relationship betwe}en\text{ y and the square of z} \\ \text{Mathematically, this can be expressed as} \\ y\text{ }\propto x^2 \\ To\text{ turn this expression into an equation, we n}eed\text{ to introduce a proportionality constant k} \\ y=kx^2 \\ \text{ According to the question, y = 20 and x = 2} \\ \text{From the above informaion we can find our k} \\ y=kx^2 \\ 20\text{ = k }\cdot2^2 \\ 20\text{ = k }\cdot\text{ 4} \\ \text{Divide both sides by 4} \\ \frac{20}{4}\text{ = }\frac{k\cdot\text{ 4}}{4} \\ k\text{ = 5} \\ \text{ Find y when }x\text{ = 3} \\ y=kx^2 \\ y\text{ = 5 }\cdot(3)^2 \\ y\text{ = 5 }\cdot\text{ 9} \\ y\text{ = 45} \end{gathered}$

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1 year ago

Kian has been asked to create a company logo to be put on all company merchandise. The logo needs to be

Sladkaya [172]

Kian has to work with 6 square inches

Step-by-step explanation:

Given that the logo has to be created in a rectangular shape

Length = 3 inches

Width = 2 inches

We have to calculate the area of the given space to find out that how much area Kian will work with.

So,

$Area = Length*Width\\=2*3\\=6\ in^2$

Hence,

Kian has to work with 6 square inches

Keywords: Rectangle, Area

Learn more about rectangle at:

#LearnwithBrainly

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3 years ago