Question

Earth's radius is approximately 6400 km. What is the surface area & volume of the earth?

Answer 1

Answer:

$SA=514,457,600\ km^{2}$

$V=1,097,509,546,667\ km^{3}$

Step-by-step explanation:

step 1

Find the surface area

we know that

the surface area of a sphere is equal to

$SA=4\pi r^{2}$

substitute

$SA=4 \pi (6,400)^{2}$

$SA=163,840,000 \pi\ km^{2}$

substitute the approximate value of pi (3.14)

$SA=(3.14) (163,840,000)$

$SA=514,457,600\ km^{2}$

step 2

Find the volume

The volume is equal to

$V=(4/3)\pi r^{3}$

substitute

$V=(4/3)(3.14) (6,400)^{3}$

$V=1,097,509,546,667\ km^{3}$

Answer 2

Answer:

Volume V

$V =1.098\ *\ 10^{12}\ km^3$

Surface area $A_s$

$A_s =5.147\ *\ 10^{8}\ km^2$

Step-by-step explanation:

Suppose that the shape of the earth is completely spherical.

Then the surface area and the volume of a sphere are given by the following formulas

Surface area $A_s$

$A_s =4\pi r^2$

Volume V

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

In this case we know the radius r of the sphere.

$r = 6400\ km$

then we use the radius value to find the volume and surface area

Volume V

$V =\frac{4}{3}\pi (6400)^3$

$V =1.098\ *\ 10^{12}\ km^3$

Surface area $A_s$

$A_s =4\pi (6400)^2$

$A_s =5.147\ *\ 10^{8}\ km^2$