Answer:
226.19 [tex]cm^{3}[/tex]
Step-by-step explanation:
Vol. of cone = Bh/3 where B is the area of the base(circle) and h is the height of the cone.
r = 3 h = 3
V = [tex]\frac{\pi *3^{2}*3 }{3}[/tex] = 9π
Vol. of the cylinder = Bh where B is the base(circle) and h is the height of the cylinder.
r = 3 h = 10 - 3 = 7
V = [tex]\pi *3^{2} * 7[/tex] = 63π
Total volume = 9π + 63π = 72π = 72(3.1416....) = 226.19
Volume is a three-dimensional scalar quantity. The volume of the composite figure will be 226.194cm³.
A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.
The volume of the composite solid is the sum of the slanted cylinder and the cone. Therefore, the volume will be,
Volume = Volume of cone + Volume of slant cylinder
= [(1/3)πr²h] + [πr²H]
= [(1/3)×π×(3)²×3] + [π×(3)²×7]
= 28.274 cm³ + 197.920 cm³
= 226.194 cm³
Hence, the volume of the composite figure will be 226.194cm³.
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