Mathematics: Suppose the radius of a sphere is tripled. a. what happens to its surface area? b. what happens to its volume?

Suppose the radius of a sphere is tripled. a. what

Ответ:

lymariluna73016

13.01.2022

$A=4r^2\pi
\\r_1=4r
\\A_1=4r_1^2\pi=4(4r)^2\pi=4\times16r^2\pi=16\times4r^2\pi=16A$
The surface area is increased 16 times.

$V= \frac{4}{3} r^3\pi
\\
\\r_1=4r
\\
\\V_1=\frac{4}{3} r_1^3\pi=\frac{4}{3} (4r)^3\pi=\frac{4}{3} \times64r^3\pi=64\times\frac{4}{3} r^3\pi=64V$
The volume is increased 64 times.

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Ответ:

perezsamantha3oqr0za

08.02.2023

Mathematics

cummutative

Step-by-step explanation:

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Suppose the radius of a sphere is tripled.
a. what happens to its surface area?
b. what happens to its volume?

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