The diameter of the sphere is 60 mm which means its radius is 30mm. <span>The radius of a sphere is increasing at a rate of 5 mm/s.
The formula for the radius when the time is x second would be:
</span>r(t)<span>= 30+ 5x
dr/dt= 5
The speed of </span><span>volume increase </span><span>of the sphere volume would be derived from sphere volume:
</span>V(r)=4/3* pi * r^3<span>
dV/dt= 4/3 * pi * 3r^2 * (dr/dt) =4/3* pi * 3(30)^2 * 5 = 18000 pi= 56571 mm^3/s</span>
Answer: The answer is p=10h/17.
Step-by-step explanation: You'll need to solve for p by simplifying the both sides of the equation, and then isolating the variable.
The Statement would be: 0.16 < 0.62
Use the distributive property:
5*b+5*2+b=20
5b+10+b=20.
Combine like terms:
6b+10=20.
Subtract 10 from both sides:
6b+10-10=20-10
6b=10.
Divide both sides by 6:
6b/6=10/6
b=5/3=1 2/3.
Brian travels 1 2/3 hours. This means Annie travels
5(1 2/3+2)=5(3 2/3)=5(11/3)=55/3=18 1/3 hours.
Hope this helps!
