Answer:
volume of the sphere is V=1766.25 
Step-by-step explanation:
step:1
<u>The volume of the sphere formula is V=
</u>
<u>step:2</u>
Given radius of the sphere r=7.5 ft
substitute given radius r=7.5 ft value in volume of the sphere formula
![V=[tex]\frac{4 pi r^{3} }{n}](https://tex.z-dn.net/?f=V%3D%5Btex%5D%5Cfrac%7B4%20pi%20r%5E%7B3%7D%20%20%7D%7Bn%7D)
\\
V=\frac{4(3.14)(7.5)^{3} }{3}[/tex]
V=1766.25
Final answer is V=1766.25
Answer:
Step-by-step explanation:
The given equation is :
We need to decompose this equation.
We have,
So, is the decomposed form of the given expression.
We know that
in the triangle TQS
<span>applying the Pythagorean theorem
QS</span>²=TS²+TQ²---------> TQ²=QS²-TS²--------> TQ²=18²-9x²-----> equation 1
in the triangle TRS
TS²=TR²+RS²--------------> TR²=TS²-RS²-------> TR²=9x²-144----> equation 2
in the triangle QTR
TQ²=TR²+36-----------> equation 3
<span>I substitute 1 and 2 in 3
</span>18²-9x²=9x²-144+36--------> 18x²-432=0------> x²=24-------> x=√24
x=2√6
TS=3*x------> 3*2√6-----> 6√6
TS=6√6 units
the answer is
TS=6√6 units
<span>6 is the square root of 6 units</span>
