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carog24
04.04.2020 •
Mathematics
Find the volume of a cone with base area 36π ft2 and a height equal to twice the radius. Give your answers both in terms of π and rounded to the nearest tenth.
The volume in terms of π is ft3.
The volume rounded to the nearest tenth is ft3.
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Ответ:
The volume in terms of π is 144 ft³
The volume rounded to the nearest tenth is 452.4 ft³
Step-by-step explanation:
The formula of the volume of a cone is V =
π r² h , where r is its radius and h is its height
The formula of the area of a circle is A = π r²
∵ The area of the base of the cone is 36π ft²
- Equate the formula of the area of the circle by 36π to find r
∵ πr² = 36π
- Divide both sides by π
∴ r² = 36
- Take √ to both sides
∴ r = 6 ft
∵ The height of the cone is equal to twice the radius
∵ The radius of the cone is 6 ft
- Multiply 6 by 2 to find the height
∴ h = 2(6) = 12 ft
∴ The height of the cone is 12 ft
Substitute the values of h and r in the formula of the volume of the cone to find it
∵ V =
π(6)²(12)
∴ V = 144 π ft³
∴ V = 452.3893421 ft³
- Round it to the nearest tenth
∴ V = 452.4 ft³
Ответ:
mid point (x,y) = M (18, 24)
let J (- 4, - 2) be ( x1, y1)
L(a,b) be (x2,y2)
using midpoint formula
(x,y) = [(x1+x2)/2, (y1 + y2)/2]
or, (18, 24) = [(-4+a)/2, (-2+b)/2]
comparing corresponding element we get
18 = (-4+a)/2 24 =(-2+b)/2
or 36 = -4+ a or 48 = -2 +b
or a = 40 or b= 50
L(40,50)