An open cone has a slant height of 5m and a curved surface area of 251, Find the radius of the circular base.What is the answer:
1 answer:
Answer:
Radius of the cone = 16 m
Step-by-step explanation:
Slant height of the cone 'l' = 5 m
Curved surface area of the cone is represented by the formula,
Curved surface area = πrl
Here r = radius of the circular base of the cone
l = slant height of the cone
By putting the values in the formula,
251 = πrl
251 = πr(5)
r =
r = 15.979
r ≈ 16 m
Therefore, radius of the given cone will be 16 m.
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Answer:
23.7°
9.1~ft
Step-by-step explanation:
Formula for the area of a sector of central angle n (in degrees) and radius r:
We have:
A = 100 ft^2
r = 22 ft
We need to find:
r
The central angle measures 23.7°.
Formula for the length of an arcs of a circle with central angle n (in degrees) and radius r:
We have:
n = 23.7°
r = 22 ft
We need to find:
s
Answer:
Hyperbola
Step-by-step explanation:
The polar equation of a conic section with directrix ± d has the standard form:
r=ed/(1 ± ecosθ)
where e = the eccentricity.
The eccentricity determines the type of conic section:
e = 0 ⇒ circle
0 < e < 1 ⇒ ellipse
e = 1 ⇒ parabola
e > 1 ⇒ hyperbola
Step 1. <em>Convert the equation to standard form </em>
r = 4/(2 – 4 cosθ)
Divide numerator and denominator by 2
r = 2/(1 - 2cosθ)
Step 2. <em>Identify the conic </em>
e = 2, so the conic is a hyperbola.
The polar plot of the function (below) confirms that the conic is a hyperbola.
