Part A
We know that
Mass = Volume*density
Suppose radius of hemisphere is r, then
Volume of hemisphere = 2*pi*r^3/3
density = 1046 kg/m^3
mass = 6.05 + 4*0.792 = 9.218 kg
Now
m = d*2*pi*r^3/3
r = (3m/(2*pi*d))^(1/3)
r = (3*9.218/(2*pi*1046))^(1/3)
r = 0.161 m
Part B
(Since Surface area of Sphere = 4*pi*r^2), So
Area of curved surface = 2*pi*r^2
Area = 2*pi*0.161^2 = 0.163 m^2
Part C
Power emitted is given by:
Power = Intensity*Area
Intensity will be
I = e*sigma*T^4
e = emissivity = 0.970
sigma = 5.67*10^-8 = Stefan-Boltzmann's constant
T = 27.9 C = 300.9 K
So,
P = I*A = e*sigma*T^2*A
P = 0.970*5.67*10^-8*300.9^4*0.163
P = 73.49 W
Part D.
Intensity = Power/Area
I = 73.49/0.163
I = 450.86 W/m^2
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A 6.05-kg black cat and her four black kittens, each with mass o.792 kg, sleep snuggled...