Cancer cells often have a diameter of about20 microns, or 2(10)-5 m. a. Although cancer cells are not exactly spheres, they areclose enough to spheres to make this simplification. Whatis the volume of a cancer cell? b. Suppose a cancer cell doubles every day. Starting with onecancer cell, find a formula for the total volume of the cancer cells after t days. c. Assume that a tumor of cancer cells is roughly a sphere.Also assume that about 74% of the tumor is made up ofcancerous cells, while the rest consists of blood vesselsand space between the cells. How many days must passbefore the single cancer cell grows to a tumor with a diameter of 1 cm (10-2 m)?

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.2: Pyramids, Area, And Volume
Problem 33E
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Cancer cells often have a diameter of about
20 microns, or 2(10)-5 m.


a. Although cancer cells are not exactly spheres, they are
close enough to spheres to make this simplification. What
is the volume of a cancer cell?


b. Suppose a cancer cell doubles every day. Starting with one
cancer cell, find a formula for the total volume of the cancer cells after t days.


c. Assume that a tumor of cancer cells is roughly a sphere.
Also assume that about 74% of the tumor is made up of
cancerous cells, while the rest consists of blood vessels
and space between the cells. How many days must pass
before the single cancer cell grows to a tumor with a diameter of

1 cm (10-2 m)?

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