Volume of the given figure is equals to 138.2cubicfoot (nearest tenth).
" Volume of an object is defined as total amount of space occupied by any three dimensional object enclosed in it."
Formula used
Volume of a cylinder = πr²h
Volume of a cone = ( 1 / 3) × πr²h
r = radius of the shape
h = height of the shape
Value used
π = 3.14
According to the question,
Given,
Radius of the cylinder = 2ft
Height of the cylinder = 10ft
Substitute the value in the formula we get,
Volume of the cylinder = π × (2)² × 10
= 40π cubic foot
Radius of the cone = 2ft
Height of the cone = 3ft
Substitute the value in the formula we get,
Volume of the cone = ( 1 / 3) × π × (2)² × 3
= 4π cubic foot
Volume of the given figure
= Volume of the cone + Volume of the cylinder
= 4π + 40π
= 44π cubic foot
= 44 × 3.14
= 138.16
= 138.2 cubic foot (nearest tenth)
Hence, volume of the given figure is equals to 138.2cubicfoot (nearest tenth).
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