All categories

3 years ago

What is the diameter of a sphere with a volume of 498 in3, to the nearest tenth of an inch

Mathematics

1 answer:

Romashka-Z-Leto [24]3 years ago

3 0

Answer:

9.8 inches

Step-by-step explanation:

<h3>Formula for volume of the sphere is = 4/3πr³</h3><h3>Form and solve the equation for the radius</h3><h3>So: 4/3πr³= 498in³</h3><h3>πr³= 498in³*3/4 which = to 373.5in³</h3><h3>r³= 373.5in³/π</h3><h3>r=∛(373.5in³/π)</h3><h3>calculate r and times the result by 2 for diameter</h3><h3>it will be 9.834...</h3><h3>nearest tenth of an inch means the accuracy is 1 decimal place because nearest tenth= 1/10 or 0.1</h3><h3>So the final answer is 9.8in</h3>

You might be interested in

a person pays a loan of Rs. 3900 in monthly installments each in installment being less than the former by Rs. 20 ,the amount of

musickatia [10]

Answer:

15 installments

Step-by-step explanation:

3900 = Σ $\left \ {{x=n} \atop {x=1}} \right.$ 400 - 20*(n - 1)

4 0

2 years ago

2)<br> A circle has a radius of 8 cm. What is its circumference?<br> 8 cm

egoroff_w [7]

Answer

16π cm ≈ 50.2655 cm

Step-by-step explanation

To find the circumference of a circle, we can use the equation C = 2πr.

C stands for the circumference while r stands for the radius. We can see that there is a proportional positive linear relationship between radius and circumference for all circles, and that to find circumference when we have a radius value, we multiply the radius value by 2π.

The value of π, also called pi, is a constant and is the ratio of a circle's circumference to its diameter (the diameter is twice the radius, hence the 2 in the equation). Note that π is a constant and applies to all circles because all circles are similar.

Since we know the value of r, or the radius, given as 8 cm in the question, we can plug this value into the equation C = 2πr from earlier.

C = 2πr (plug in 8 cm for the radius)

C = 2π * 8

C = 16π cm

Since the radius is in units of cm (centimeters), the circumference is also in units of cm (centimeters).

16π cm is the exact value of the circumference. However, if we want this circumference in decimal form, we would multiply 16 by the decimal form of π which is approximately 3.1416. Note that π actually has an infinite amount of decimals and that this 3.1416 is actually a rounded π value

C = 16π

C ≈ 16 * 3.1416

C ≈ 50.2655 cm rounded to four decimal places

6 0

3 years ago

Which is equal to 8^-10/8^5 ?

makkiz [27]

$8^{-10}$ can be converted into $\frac{1}{ 8^{10} }$ , and applying this to $8^{-5}$ can see that

$\frac{ \frac{1}{ 8^{10} } }{ \frac{1}{ 8^{5} } }$

This gives us

$\frac{ 8^{5} }{ 8^{10} } = \frac{1}{ 8^{5} } = 8^{-5}$

8 0

3 years ago

Lindsey completed a 30 point assignment. she eared 21 points what percent did she earn?

lana66690 [7]

Answer:

Lindsey got 70% on this assignment.

Step-by-step explanation:

21 divided by 30 equals 0.7 which is 70% in percent form.

4 0

3 years ago

Read 2 more answers

Pleeeeese help me as fast as you can!!!