Respuesta :
Answer: 3pi*r^2*h
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Explanation:
V1 = volume of first cylinder
V1 = pi*(radius)^2*(height)
V1 = pi*r^2*h
------
V2 = volume of second cylinder with doubled radius
V2 = pi*(new radius)^2*(height)
V2 = pi*(2r)^2*h
V2 = pi*(4r^2)*h
V2 = 4pi*r^2*h
------
V3 = difference in volumes
V3 = V2 - V1
V3 = 4pi*r^2*h - pi*r^2*h
V3 = 4pi*r^2*h - 1pi*r^2*h
V3 = (4-1)pi*r^2*h
V3 = 3pi*r^2*h
Answer:
3pir^2h.
Step-by-step explanation:
Initial volume = pi r^2 h
New volume = pi (2r)^2 h
= 4pir^2h
Difference = 3pir^2h.
