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3 years ago

Find the missing dimension of the cylinder. Round your answer to the nearest hundredth.

Mathematics

1 answer:

ivann1987 [24]3 years ago

6 0

Answer:

The missing dimension, radius = 6.00 m

Step-by-step explanation:

We are given the following things:

Height of cylinder, $h$ = 15 m

Radius of cylinder, $r = z$ m (Labelled as $z$ )

Volume of cylinder, $V = 1696.5\ m^{3}$

Please refer to the image attached for the dimensions of cylinder as given.

We know that the volume of a cylinder can be given as:

$V = \pi r^{2} h$

Where $r$ is the radius of cylinder

$h$ is the height of cylinder

Putting the values of $V, r \text{ and } h$ :

$1696.5 = \pi z^{2} \times 15\\\Rightarrow z^{2} = 36.01\\\Rightarrow z = 6.00\ m$

Hence, The missing dimension, radius = 6.00 m

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3 years ago

Ade and ola share a sum of 400 naira in the ratio 3:5. find the amount ade received.

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2 years ago

On babylonian tablet ybc 4652, a problem is given that translates to this equation: x x plus startfraction x over 7 endfraction

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The correct option is (A). The solution of the equation is x=48.125.

Given an equation $x+\frac{x}{7}+\frac{1}{11}\left(x+\frac{x}{7}\right)=60$ .

A statement that uses the equal sign to show that two expressions have the same value is called an equation. The equation is represented as ax+by=c.

Firstly, we will apply the distributive property to the given equation a×(b+c)=ab+ac, we get

$x+\frac{x}{7}+\frac{x}{11}+\frac{x}{77}=60$

Now, we will simplify the right-hand side equation by taking LCM, we get

$\begin{aligned}\frac{77x+11x+7x+x}{77}&=60\\ \frac{96x}{77}&=60\end$

Further, we will multiply both sides with 77, we get

77×(96x/77)=77×60

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Then, we will divide both sides with 96, we get

96x/96=4620/96

x=48.125

Hence, the solution of the given equation $x+\frac{x}{7}+\frac{x}{11}+\frac{x}{77}=60$ is x=48.125.

Learn more about solution of equation from here brainly.com/question/1477785

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2 years ago

For the years from 2002 and projected to 2024, the national health care expenditures H, in billions of dollars, can be modeled b

dmitriy555 [2]

Answer:

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Step-by-step explanation:

We have been given that for the years from 2002 and projected to 2024, the national health care expenditures H, in billions of dollars, can be modeled by $H = 1,500e^{0.053t}$ where t is the number of years past 2000.

To find the year in which national health care expenditures expected to reach $4.0 trillion (that is, $4,000 billion), we will substitute $H=4,000$ in our given formula and solve for t as: