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3 years ago

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The diameter of a large lawn ornament in the shape of a sphere is 16 inches. What is the approximate volume of the ornament? Use

3.14 for π . Round to the nearest tenth of a cubic inch.

2 answers:

Dvinal [7]3 years ago

7 0

Answer: $2143.6\ in.^3$

Step-by-step explanation:

Given: The diameter of a large lawn ornament in the shape of a sphere = 16 inches.

Then, the radius of ornament = $\frac{16}{2}=8$ inches.

We know that the volume of a sphere is given by :-

$\text{Volume}=\frac{4}{3}\pi r^3$ , where r is the radius of a sphere.

Now, the volume of the ornament is given by :-

$\text{Volume}=\frac{4}{3}(3.14) (8)^3\\\\\Rightarrow\text{Volume}=\frac{4}{3}\times3.14\times512=2143.57333333\approx2143.6\ in,^3$

Hence, the approximate volume of the ornament $=2143.6\ in.^3$

fiasKO [112]3 years ago

7 0

volume = 4/3 x pi x r^3

r = 16/2=8

v = 4/3 x 3.14 x 8^3 = 2143.573 = 2,143.6 cubic inches

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A vineyard has 145 acres of Chardonnay grapes. A particular soil supplement requires 5.50 grams for every square meter of vineya

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3230 kilograms of the soil supplement are required for the entire vineyard

<h3>Further explanation</h3>

Some units that need to be recalled are as follows :

<em>1 km = 1000 m = 10³ m</em>

<em>1 km² = 1000000 m² = 10⁶ m</em>

<em>1 km² = 247 acres</em>

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Let's tackle the problem now!

A vineyard has 145 acres of Chardonnay grapes.

$145 ~ acres = \frac{145}{247} \times 1 ~ km^2$

$145 ~ acres = \frac{145}{247} ~ km^2$

$\boxed {145 ~ acres \approx 0.587 ~ km^2}$

A particular soil supplement requires 5.50 grams for every square meter of vineyard.

$1 ~ m^2 \rightarrow 5.50 ~ gram$

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$1 ~ km^2 \rightarrow 5.50 \times 10^6 \times 10^{-3} ~ kg$

$\boxed {1 ~ km^2 \rightarrow 5.50 \times 10^3 ~ kg}$

$145 ~ acres = \frac{145}{247} ~ km^2 \rightarrow \frac{145}{247} \times 5.50 \times 10^3 ~ kg$

$145 ~ acres \rightarrow \frac{797500}{247} ~ kg$

$145 ~ acres \rightarrow 3230 ~ kg$

<h2>Conclusion :</h2>

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<h3>Learn more</h3>

Conversion Factor of Speed : brainly.com/question/11224343
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<h3>Answer details</h3>

Grade: Middle School

Subject: Mathematics

Chapter: Arithmetic

Keywords: Addition , Subtraction , Multiplication , Division , Number , Expression , Time , Duration , Write

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Answer:

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Step-by-step explanation:

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Now, to add the two fractions, simply multiply the numerator and denominator by 3:

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Now add this to the other fraction:

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This can be simplified down by dividing both the numerator and denominator by 4:

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Now multiply both sides by 8:

$(\frac{1}{8}y) * 8 = (\frac{4}{3}) * 8$

$y = \frac{4*8}{3}$

$y = \frac{32}{3}$

Hope this helps!

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