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irga5000 [103]
4 years ago
14

What does h equal in the equation S=2πr2+2πrh?

Mathematics
1 answer:
Troyanec [42]4 years ago
4 0

A

Step-by-step explanation:First, subtract

2

π

r

2

from each side of the equation to isolate the

h

term:

S

−

2

π

r

2

=

2

π

r

h

+

2

π

r

2

−

2

π

r

2

S

−

2

π

r

2

=

2

π

r

h

+

0

S

−

2

π

r

2

=

2

π

r

h

Now, divide each side of the equation by

2

π

r

to solve for

h

:

S

−

2

π

r

2

2

π

r

=

2

π

r

h

2

π

r

S

−

2

π

r

2

2

π

r

=

2

π

r

h

2

π

r

S

−

2

π

r

2

2

π

r

=

h

h

=

S

−

2

π

r

2

2

π

r

Or

h

=

S

2

π

r

−

2

π

r

2

2

π

r

h

=

S

2

π

r

−

2

π

r

2

2

π

r

h

=

S

2

π

r

−

r

2

r

h

=

S

2

π

r

−

r

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<h3>How to determine the sum of the series?</h3>

The series is given as:

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