All categories

2 years ago

The surface area of a globe in Mr. Patton's classroom is about 152.39 square inches. Find its

Mathematics

1 answer:

Snezhnost [94]2 years ago

6 0

Answer:

176.89in^3

Step-by-step explanation:

when finding the volume using the surface area, the best method that comes in my mind is finding the ratio between the surface area and volume which would be r/3 for a sphere. So if given that the surface area of the sphere is 152.39 square r/3=around 1.161, and when multiplied by 152.39 is around 176.89. another similar method is deriving the radius when given its surface area which is simply taking the square root of the surface area/4pi which turns out to be 3.482357088 or 3.48 which can then be plugged into the volume formula as the radius which is (3.48^3*4pi)/3 which turns out to be the same answer!

You might be interested in

Let the region R be the area enclosed by the function f(x)=ln(x) and g(x)= 1/2x-2. Find the volume of the solid generated when t

Neporo4naja [7]

Answer:

$V=61.66$

Step-by-step explanation:

This problem can be solved by using the expression for the Volume of a solid with the washer method

$V=\pi \int \limit_a^b[R(x)^2-r(x)^2]dx$

where R and r are the functions f and g respectively (f for the upper bound of the region and r for the lower bound).

Before we have to compute the limits of the integral. We can do that by taking f=g, that is

$f(x)=g(x)\\ln(x)=\frac{1}{2}x-2$

there are two point of intersection (that have been calculated with a software program as Wolfram alpha, because there is no way to solve analiticaly)

x1=0.14

x2=8.21

and because the revolution is around y=-5 we have

$R=ln(x)-(-5)\\r=\frac{1}{2}x-2-(-5)\\$

and by replacing in the integral we have

$V=\pi \int \limit_{x1}^{x2}[(lnx+5)^2-(\frac{1}{2}x+3)^2]dx\\$

$V=\pi [28x+\frac{1}{x}+xln^2x-12xlnx-6lnx]$

and by evaluating in the limits we have

$V=61.66$

Hope this helps

regards

3 0

2 years ago

2x^2-7x=-1 what are the solutions in decimal form?

Scorpion4ik [409]

0.14921894<span>3 or 3.3507811

Hope this helps!!
</span>

8 0

2 years ago

8 circles and 10 triangles.

madreJ [45]

Answer:

2:5

Step-by-step explanation:

Because if we look 8:20 can be turned into 8/20 and if we simply we got 2/5 and turn it into 2:5

8 0

2 years ago

Translate into an expression the sum of 4 and m

jek_recluse [69]

Answer:

Step-by-step explanation:

8 0

2 years ago

The loan application is for $230,000. You see that the applicant has an annual salary of $83,000 and a savings account balance o

Nookie1986 [14]

Answer:

What is the question?

Step-by-step explanation:

6 0

2 years ago