All categories

3 years ago

Find the approximate surface-area-to-volume ratio of a softball with a radius of 2 inches.

Mathematics

1 answer:

Umnica [9.8K]3 years ago

8 0

Answer:

Option B.

Step-by-step explanation:

We need to find the approximate surface-area-to-volume ratio of a softball.

Surface area of sphere is

$A=4\pi r^2$

where, r is the radius of sphere.

Volume of sphere is

$V=\dfrac{4}{3}\pi r^3$

where, r is the radius of sphere.

The ratio of surface-area-to-volume is

$Ratio=\dfrac{A}{V}=\dfrac{4\pi r^2}{\frac{4}{3}\pi r^3}=\dfrac{3}{r}$

It is given that the radius of the ball is 2 inches.

$Ratio=\dfrac{A}{V}=\dfrac{3}{r}=\dfrac{3}{2}=1.5$

Therefore, the correct option is B.

You might be interested in

Using the formula V = l × w × h, find the volume of a right rectangular prism when the length of the prism is 45 cm, the width i

user100 [1]

Answer:

The volume of the right rectangular prism is 5400 cubic centimeter.

Step-by-step explanation:

Given : The length of the prism is 45 cm, the width is 12 cm, and the height is 10 cm.

To find : The volume of a right rectangular prism ?

Solution :

The formula used is $V=l\times w\times h$

Where, l is the length of the prism l=45 cm

w is the width of the prism w=12 cm

h is the height of the prism h=10 cm

Substitute the value in the formula,

$V=45\times 12\times 10$

$V=5400\ cm^3$

Therefore, The volume of the right rectangular prism is 5400 cubic centimeter.

7 0

3 years ago

Davis Construction is building a new housing development. They begin by mapping the development out on a coordinate grid. They p

Mandarinka [93]

$\bf \textit{middle point of 2 points }\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
&({{ -4}}\quad ,&{{ -1}})\quad 
% (c,d)
&({{ 6}}\quad ,&{{ 3}})
\end{array}\qquad
% coordinates of midpoint 
\left(\cfrac{{{ x_2}} + {{ x_1}}}{2}\quad ,\quad \cfrac{{{ y_2}} + {{ y_1}}}{2} \right)
\\\\\\
\left(\cfrac{{{ 6}} -4}{2}\quad ,\quad \cfrac{3-1}{2} \right)$

3 0

3 years ago

On a coordinate plane, a line connects (negative 4, negative 5) and (negative 2, negative 4), a curve connects (negative 2, nega

statuscvo [17]

Answer: f^-1(4)= 2 f^-1(-5)= -4 f^-1(0)= 0

Step-by-step explanation:

6 0

3 years ago

Ella Buys a book and a pen for $14. The cost of the book is two dollars more than twice the cost of the pen. Write a system of l

Vilka [71]

Answer: The book costs $10 and the pen costs $4✔️

Step-by-step explanation:

Let B the cost of the book and let P the cost of the pen.

Then we know:

The book and the pen cost $14:

B + P = $14 } Equation 1

We also know:

The cost of the book is two dollars more than twice the cost of the pen.

B = 2P + $2 } Equation 2

Now we can substitute the value of B from the equation 2 in the equation 1:

2P + $2 + P = $14

3P = $14 - $2 = $12

P = $12/3 = $4 , cost of the pen

Since we know the value of B from the equation 2, we can calculate B:

B = 2P + $2 = 2x$4 + $2 = $8 + $2 = $10 , cost of the book

Answer: The book costs $10 and the pen costs $4✔️

<h3>Verify </h3>

We can substitute these values in equations 1 and 2 and check the results:

B + P = $14 } Equation 1

$10 + $4 = $14 ✔️check!

B = 2P + $2 } Equation 2

$10 = 2x$4 + $2 = $8 + $2 = $10 ✔️check!

<h2><em>Spymore</em></h2>

5 0

3 years ago

What is the distance between the points ( − 4 , 5 ) and ( 8 , 9 ) ?

anygoal [31]

Answer:

Sqrt of 160

Step-by-step explanation:

The distance, try to think it as a triangle, so you will find out that the distance equals the sqrt of(8-(-4))^2 + (9-5)^2, so it will be sqrt of(144+16) which is sqrt of 160, so the answer will be sqrt of 160

7 0

3 years ago