Diameter=2r
r=7
L²=r²+h²
L²=7²+24²=625
L=√(625)=25
You know l=25 ,r=7 and h=24
Plug into the formula above and you done
recall that TSA==πrl+πr²=πr(l+r)
r=7
L²=r²+h²
L²=7²+24²=625
L=√(625)=25
You know l=25 ,r=7 and h=24
Plug into the formula above and you done
recall that TSA==πrl+πr²=πr(l+r)
so
pi r^2 + pi r L = pi r (r+L)
where L is the slant height =sqrt(r^2+h^2)
here r = 7 cm and h = 24 cm
L= sqrt( 49 + 576) = sqrt (625) = 25 that is handy :)
so
pi r (r+L) = pi (7)(7+25)
and twenty $1 bills. but in division. what story can i make up?
Diameter=14, therefore
Radius = d/2= 14/2= 7.
Length(l²)= r²+h²
L²= 7²+24²
L=√625= 25.
Since l=25, r=7, h=24
Therefore, we input it in the formula
TSA=Ï€r(1+r)
=22/7 × 7 (25+7)
=22(32)
=704
To proceed, we can use the Pythagorean theorem to find the slant height.
Using the formula for the slant height of a cone:
l = √(r² + h²)
Given that the base diameter is 10 cm, the radius (r) will be half of that:
r = 10 cm / 2 = 5 cm
Plugging these values into the formula for the slant height, we have:
l = √(5² + 24²)
= √(25 + 576)
= √601
≈ 24.5 cm
Now that we have the slant height, we can calculate the total surface area of the cone:
TSA = πr(r + l)
TSA = π * 5 cm * (5 cm + 24.5 cm)
≈ π * 5 cm * 29.5 cm
≈ 461.925 cm²
Therefore, the total surface area of the cone is approximately 461.925 square centimetres.