Step-by-step explanation:
Let's say R is the initial radius of the sphere, and r is the radius at time t.
The volume of the sphere at time t is:
V = 4/3 π r³
Taking derivative with respect to radius:
dV/dr = 4π r²
This is a maximum when r is a maximum, which is when r = R.
(dV/dr)max = 4π R²
This is 4 times the sphere's initial great circle area, but not the great circle circumference. The problem statement contains an error.
Answer:
y = 1/2x + 1
Step-by-step explanation:
Step 1: Find slope
(1-0)/(0+2) = 1/2
Step 2: Write equation
y = 1/2x + 1
Answer:
20.4cm²
Step-by-step explanation:
base= 10.2
height= 2
10.2×2=20.4cm²
Answer:
44°
Step-by-step explanation:
m∠MKN=44° (sum of angles in a triangle)
m∠KMJ=44° (definition of congruent angles)
