t K The function V(t) models the relationship between the volume of a tumor and the amount of time it has been growing, where t is in months and V(t) is in cubic centimeters 1200 V(t)= (1+1034 002436) 4 Answer the following questions in parts (a) through (d). (a) Find the tumor volume at 240 months. 3 The volume of the tumor at 240 months is 4.7415 cm (Type an integer or a decimal. Round to four decimal places as needed.). (b) Assuming the shape of a tumor is spherical, find the radius of the tumor from part (a). Hint: Use the equation for the volume of a sphere, v=- The radius of the tumor at 240 months is 1.0422 cm. (Use the answer from part (a) to find this answer. Type an integer or a decimal. Round to four decimal places as needed.) (c) If a tumor of volume 0 8cm is detected, according to the formula, how long has it been growing? A tumor of volume 0.8cm has been growing for about 217 months (Type an integer or a decimal. Round to the nearest month as needed.) (d) Calculate the rate of change of tumor volume at 240 months. When the tumor is 240 months old, it is increasing in volume at the rate of (Type an integer or a decimal. Round to four decimal places as needed.) cm/month. 4