(12 + 2v + 13v^3) + (13v^3 + 7 + 7v)
12 + 2v + 13v^3 + 13v^3 + 7 + 7v - drop the parenthesis since adding
13v^3 + 13v^3 + 7v + 2v + 12 + 7 - Group by like terms
26v^3 + 9v + 19 - combine like terms
Answer:
18, 9, 27
Step-by-step explanation:
36 ÷ 2 = 18. Dividing by 2 is the same as multiplying by 50%.
36 ÷ 4 = 9. Dividing by 4 is the same as multiplying by 25%.
Since 25% • 3 = 75%, you can do 9 (from previous) • 3 to get 27.
Draw a diagram to illustrate the problem as shown below.
Calculate the volume of the empty cone.
V₁ = (1/3)π*(6 in)²*(10 in) = 120π in³
Calculate the volume of the sphere.
V₂ = (4/3)π*(1.5 in)³ = 4.5π in³
The volume that can be filled with flavored ice is
V = V₁ - V₂ = 115.5π in³ = 362.85 in³
Answer:
The volume is 115.5π in³ or 362.9 in³ (nearest tenth)
