TSA=πrl+πr²=πr(l+r)......(1)
l=√(h²+r²)......(2)
Where r=7 h=24
Plug r and h into equation (2) and finish it off at equation (1)
Calculate the total surface area of the solid cone or vertical height 24cm and base diameter 14cm use the value 22/7 for pier
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Bhunswum
Total surface area of a solid cone of slant height 25 cm and vertical height 24cm.
We can start by using the formula for the surface area of a cone:
TSA = πrℓ + πr^2
where r is the radius of the base and ℓ is the slant height.
We know that the vertical height of the cone is 24 cm and the slant height is 25 cm. We can use the Pythagorean theorem to find the radius of the base:
r = √(ℓ^2 - h^2) = √(25^2 - 24^2) ≈ 7.0 cm
Now we can plug in the values for r and ℓ into the formula for the surface area:
TSA = π(7.0)(25) + π(7.0)^2 ≈ 615.75 cm^2
Therefore, the total surface area of the solid cone is approximately 615.75 cm^2.
TSA = πrℓ + πr^2
where r is the radius of the base and ℓ is the slant height.
We know that the vertical height of the cone is 24 cm and the slant height is 25 cm. We can use the Pythagorean theorem to find the radius of the base:
r = √(ℓ^2 - h^2) = √(25^2 - 24^2) ≈ 7.0 cm
Now we can plug in the values for r and ℓ into the formula for the surface area:
TSA = π(7.0)(25) + π(7.0)^2 ≈ 615.75 cm^2
Therefore, the total surface area of the solid cone is approximately 615.75 cm^2.
1 answer