Mathematics: Brainlies usatestprep find the volume of a sphere of radius 3 centimeters. there is no pic a. 27π cm^3 b. 36π cm^3 c. 108π cm^3 d. 81/4π cm^3

Brainlies usatestprep find the volume of a sphere

pruittjr5161

09.04.2022

37 mm

Step-by-step explanation:

For the first smaller triangle,

Given,

Hypotenuse = 13mm

Base = 5mm

Therefore, According to Pythagoras Theorem

${hypotenuse}^{2} - {base}^{2} = {height}^{2}$

$= {13}^{2} - {5}^{2} = {h}^{2}$

$= 169 - 25 = {h}^{2}$

$= 144 = {h}^{2}$

$= h = \sqrt{144}$

=> h = 12 mm

Hence, we got the height of the smaller triangle.

Since,

Height of the smaller triangle = Base of the larger triangle = 12mm

So, for larger triangle,

Given,

Base = 12mm

Height = 35 mm

Hypotenuse = x mm

Therefore, According to Pythagoras Theorem

${hypotenuse}^{2}={base}^{2}+ {height}^{2}$

$= {x}^{2} = {12}^{2} + {35}^{2}$

$= {x}^{2} = 144 + 1225$

$= {x}^{2} = 1369$

$= x = \sqrt{1369}$

=> x = 37

Hence, the required value of x is 37 mm (Ans)

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