[填空题]
A loaf pan is made in the shape of a cylinder. The pan h1zgsa:op j2 n.e/h8guas a diameter of*zar vcop-*a/d8 yo* c 24 cm and a heigva8* dczca/ yp*r*oo -ht of 5 m.
1.Calculate the volume of this pan.
Gloria prepares enough bread dough to exactly fill the pan. The dough was in the shape of a sphere. $V_{pan}$ ≈
2.Find the radius of the sphere in cm, correct to one decimal place.
The bread was cooked in a hot oven. Once taken out of the oven, the bread was left in the kitchen.
The temperature, T, of the bread, in degrees Celsius,$^{\circ}C$, can be modelled by the function
T(t)=$a\times(1.51)^{−\frac{t}{3}}$+21,t≥0,
where a is a constant and t is the time, in minutes, since the bread was taken out of the oven.
When the bread was taken out of the oven its temperature was $205^{\circ}C$ r ≈ cm
3.Find the value of a. a =
4.Find the temperature that the bread will be 10 minutes after it is taken out of the oven.
The bread can be eaten once its temperature drops to $35^{\circ}C$.T ≈ $^{\circ}C$
5.Calculate, to the nearest minute, the time since the bread was taken out
of the oven until it can be eaten. t ≈ minutes
6.In the context of this model, state what the value of 21 represents.