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Write the answers for the following in Scientific notation with three significan

ID: 1414825 • Letter: W

Question

Write the answers for the following in Scientific notation with three significant digits The earth's circumference, measured through the poles, is exactly 40, 000, 000 m (according to an early standard of the meter). What is the radius of the earth, R? R =_______m. The surface area of the earth is given by A = 4 pi times R^2. What is the area A? A =_____m^2. Using the units conversion 1 inch = 2.54 cm. convert the volume V = 302 in^3 into a volume in cubic cm (cm^3) and in liters. (I L = 1000 cm^3). Show your steps in below! V =_____cm^3 =____L. Consider the illustration of a standard metric scale across the two lines. Write a short definition of least count, and state what the least count is for this ruler. Show how to determine x, the distance between the two lines. Record data in mm. (See the illustration inside the manual.) Result: x =_____mm

Explanation / Answer


1) a) Circumference equals two times pi times the radius. Plugging in, we get this:

40,000,000 m = 2r

Simplifying results in:

(20,000,000 m)/ = r

To make things easier, we'll use the fact that 1,000 m = 1 km. This gives us:

(20,000 km)/ = r

We're going to estimate pi to be 3 to see how close we can get.

This gives us:

6,666.6666... km = r


b)A=4r^2
=4 x 3.14 x (6.67x10^3Km)2
=5.5878 X 108 Km2

c)
302000 cm3 X 2.54=767080


2)a)The "Least Count" of any measuring equipment is the smallest quantity that can be measured accurately using that instrument.Thus Least Count indicates the degree of accuracy of measurement that can be achieved by the measuring instrument.

A meter ruler's least count is 0.1 centimeter; an


b)6.3 - 2=4.3cm

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