1. a. Use the formula V = ar to find the volume of a sphere that has a radius of 5 ". Do not round the radius in your calculation. Use the T button on your calculator. Answer: b. Find the volume of the same sphere but round the radius to 5.4" for easier calculations. Use the T button on your calculator. Answer: c. What is the percent difference in the volumes?
1. a. Use the formula V = ar to find the volume of a sphere that has a radius of 5 ". Do not round the radius in your calculation. Use the T button on your calculator. Answer: b. Find the volume of the same sphere but round the radius to 5.4" for easier calculations. Use the T button on your calculator. Answer: c. What is the percent difference in the volumes?
Elementary Algebra
17th Edition
ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
Publisher:Lynn Marecek, MaryAnne Anthony-Smith
Chapter9: Roots And Radicals
Section9.4: Multiply Square Roots
Problem 311E: An artist wants to make a small monument in the shape of a square base topped by a right triangle,...
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Transcribed Image Text:Instructions: Read each problem carefully. Put all work Including all steps required to be graded in the space
provided for each question. Put all simplified final answers in the indicated space, where applicable. Make sure you
use units in your answer where applicable. Must be completed as we did in class. Use only pencil!
1.
a. Use the formula V = Tr to find the volume of a sphere that has a radius of 5". Do not round the radius in
your calculation. Use the T button on your calculator.
Answer:
b. Find the volume of the same sphere but round the radius to 5.4" for easier calculations. Use the T button on your
calculator.
Answer:
c. What is the percent difference in the volumes?
Answer:
2. In an effort to find the volume of a cylindrical measuring cup, you measure the radius to be about 1.6 cm and the
height to be 5.8 cm.
a. Find the volume using the two measurements given and round to the nearest cubic centimeter, Use the formula
V = Trh.
Answer:
b. If you round the radius and height to the nearest centimeter before calculating the volume, what do you get for
the volume rounded to the nearest cubic centimeter?
Answer:
c. How did rounding before the calculation instead of after the calculation affect your answer?
d. By what percent did you overestimate the volume when you rounded before calculating?
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