a cylinder of a radius 3 cm is carved out of a cylinder with a 7 cm as shown at the right if the two cylinders have the same height find the volume of the remaining solidw/solutions
Answer (1)
To find the volume of the remaining solid, we need to subtract the volume of the smaller cylinder from the volume of the larger cylinder.(V1) = π × (radius)^2 × he= π × (7 cm)^2 × h= 153.94 cm^2 × h(V2) = π × (radius)^2 × h= π × (3 cm)^2 × h= 28.27 cm^2 × h(V) = V1 - V2= 153.94 cm^2 × h - 28.27 cm^2 × h= 125.67 cm^2 × h(V) = 125.67 cm^2 × hAnswer: The volume of the remaining solid is 125.67 cm^2 times the height (h) of the cylinders.Note: If you provide the height (h), I can give you the exact volume.
