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2 years ago

Find volume. Use 3.14 to find the approximate volume. Enter your answer as a decimal in the box.

Mathematics

1 answer:

VLD [36.1K]2 years ago

8 0

Answer:

452.16 in³

Step-by-step explanation:

A volcano is an inverted cone and with that, the volume can be solved through the equation,

V = (1/3)(area of the base)(height)

We solve the area of the base first,

area of the base = (pi)(r²)

= 3.14(6 in)²

= 113.04 in²

Substituting these calculated values and the other givens above to the first equation,

V = (1/3)(113.04 in²)(12 in) = 452.16 in³

Thus, the volume of the model is approximately equal to 452.16 in³.

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An elephant has a mass of 4500 kilograms. How many mice, with a mass of 2×10−2 kilogram each, would it take to equal the mass of

eimsori [14]

Answer:225000 mice

Step-by-step explanation:

Mass of elephant=4500kg

Mass of mice=2x10^(-2)=2/100 kg

Let y be there number of mice

2/100 x y=4500

2y/100=4500

Cross multiply

2y=4500 x 100

2y=450000

Divide both sides by 2

2y/2=450000/2

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2 years ago

To estimate a population mean, the sample size needed to provide a margin of error of 3 or less with a 95% confidence when the p

Over [174]

Answer:

The minimum sample needed to provide a margin of error of 3 or less is 52.

Step-by-step explanation:

The confidence interval for population mean (μ) is:

$\bar x\pm z_{\alpha /2}\frac{\sigma}{\sqrt{n}}$

The margin of error is:

$MOE= z_{\alpha /2}\frac{\sigma}{\sqrt{n}}$

Given:

MOE = 3

σ = 11

The critical value for 95% confidence interval is: $z_{\alpha /2}=1.96$

**Use the z-table for critical values.

Compute the sample size (n) as follows:

$MOE= z_{\alpha /2}\frac{\sigma}{\sqrt{n}}\\3=1.96\times \frac{11}{\sqrt{n}}\\n=(\frac{1.96\times11}{3} )^{2}\\=51.65\\\approx52$

Thus, the minimum sample needed to provide a margin of error of 3 or less is 52.

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2 years ago

How much force is required to push a 135-pound sofa across a wood floor

masya89 [10]

Enough force to push 135 pounds

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3 years ago

Of the following types of energies that the Earth receives from the Sun, which type of energy causes

valentinak56 [21]

Step-by-step explanation:

c. ultraviolet energy

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2 years ago

What is the missing length??

amid [387]

Answer

The missing length is 10

Step-by-step explanation:

Represent the missing length with x

The sides of the given shape are directly proportional.

Mathematically:

(15 + x) to (12 + 8) and x to 7

Represent as a ratio:

$(15 + x) : (12 + 8) = x : 8$

$15 + x : 20= x : 8$

Convert to fraction

$\frac{15 + x}{20} = \frac{x}{8}$

Cross Multiply:

$(15 + x)*8 = 20 * x$

$120 + 8x = 20x$

Collect Like Terms

$20x - 8x = 120$

$12x = 120$

Solve for x

$x = \frac{120}{10}$

$x = 10$

The length of the missing side is 10

4 0

2 years ago