Answer:0.104
Step-by-step explanation:
0.004 is 1/10 times as great as 0.04
Answer:
4 pieces for the shelves
Step-by-step explanation:
3/4×4=3
Answer:
Volume left = 16π cm³ or 50.265 cm³
Step-by-step explanation:
Let's first find the surface area of the tennis ball.
S.A = (4/3)πr³
Radius of a ball = 2 cm
Thus;
S.A = (4/3)π(2)³
S.A = 32π/3
Since there are 3 radius balls that will make the cylinder full, then;
Surface area of 3 balls = 3 × 32π/3 = 32π
Now, formula for volume of cylinder is;
V = πr²h
r = 2 cm
h = 4 × 3 = 12 (since diameter of tennis ball is 4 cm)
Thus;
V = π × 2² × 12
V = 48π
Thus;
Volume left = Volume of cylinder - surface area of 3 balls = 48π - 32π = 16π cm³ or 50.265 cm³
Answer:
121
Step-by-step explanation:
dP/dt is propotional to P^½
dP/dt = k(P^½)
When P=100, dP/dt=+20
20 = k(100^½)
20 = 10k
k = 2
dP/dt = 2(P^½)
Reciprocate both sides:
dt/dP = 1/[2(P^½)]
dt/dP = ½[P^(-½)]
Integrate wrt P.
t = ½ [(P^½) ÷ ½] + c
t = P^½ + c
Using t = 0, P =100.. find c
0 = 100^½ + c
0 = 10 + c
c = -10
t = P^½ - 10
Find P when t=1
1 = P^½ - 10
P^½ = 11
P = 121