$\bf \textit{volume of a sphere}\\\\
V=\cfrac{4\pi r^3}{3}\implies V=\cfrac{4\pi }{3}r^3
\\\\\\
\cfrac{dV}{dt}=\cfrac{4\pi }{3}\cdot \stackrel{chain~rule}{3r^2\cdot \cfrac{dr}{dt}}\quad 
\begin{cases}
\frac{dr}{dt}=50\\
r=6
\end{cases}\implies \cfrac{dV}{dt}=\cfrac{4\pi }{3}\cdot 3(6)^2\cdot 50\\\\\\ \cfrac{dV}{dt}=\stackrel{\frac{cm^3}{s}}{7200\pi}$

5 0

3 years ago

− 4 /5 + 40/75 +100%

Reika [66]

Answer:

0.266666666

Step-by-step explanation:

7 0

3 years ago

Find the least common denominator of the fractions 5/12 and 2/5.

Gemiola [76]

The LCD (least common denominator) is the lowest number that both denominators (12 and 5) go into. The lowest number that both 5 and 12 go into is 60. The LCD of the two fractions is 60.

6 0

3 years ago

Read 2 more answers

What is the point slope form? (8,9) m = 0.5 Please show work.

Simora [160]

(8,9) m = 0.5
point slope form
y - y1 = m (x - x1)
so
equation

y - 9 = 0.5(x - 8)

answer

y - 9 = 0.5(x - 8)

8 0

3 years ago