Calculate the total surface of a solid cone or vertical height 24cm and base diameter 14cm use,the value 22/7 for pier
TSA= πr(l + r)
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=πr(1+r)
=22/7 × 7 (25+7)
=22(32)
=704
Yes
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)
total I assume includes the base
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)
i have to make up a story using $100 bills, nine $10 bills,
and twenty $1 bills. but in division. what story can i make up?
i really love it and is just that i am not good at caculating money or anything about mathemathics thank you r really appiecate
704
You're welcome! Don't worry too much, math takes practice but you'll get better with time. Let me know if you need any help!
Calculate the total of a solid cone of vertical height 24centimetres and base diameter of 10 cm
To calculate the total surface area of a solid cone, we need to know the slant height of the cone. However, the information given only includes the height and base diameter.
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.