Answer:
[tex]2,400\pi[/tex] cubic units
Step-by-step explanation:
Given the cylinder has a base radius of 10 units.
And slant length of 26 units.
The formula for volume of an oblique cylinder is [tex]\pi r^2h[/tex]
Where [tex]r[/tex] is the radius and [tex]h[/tex] is the height of cylinder.
We will now find height of cylinder using following equation.
[tex](slant\ length)^2=(radius)^2+(height)^2[/tex]
[tex]26^2=10^2+(height)^2\\\\676=100+(height)^2\\\\676-100=(height)^2\\\\576=(height)^2\\\\\sqrt{576}=\sqrt{(height)^2}\\ \\24=height[/tex]
Now, the volume of cylinder would be
[tex]=\pi r^2h\\=\pi(10)^2\times24\\=\pi 100\times24\\=2400\pi[/tex]cubic units
The volume of the cylinder is 2,400pi cubic units
The formula for calculating the volume of a cylinder is expressed as:
V = πr²h
where:
r is the radius = 10units
h is the height
Since the cylinder is oblique, hence:
h² = 26² - 10²
h² = 676 - 100
h² = 576
h = 24 units
V = 22/7(10)² * 24
V = 2400 pi cubic units
Hence the volume of the cylinder is 2,400pi cubic units
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