Find the volume of the cone. Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi and round yo
ur final answer to the nearest hundredth.
1 answer:
Answer:
Volume of the cone = 130.83 cubic units
Step-by-step explanation:
The question us incomplete without the diagram of the cone and it's dimensions as this would enable us get the exact answer.
Find attached the diagram used in solving the solution.
Volume of cone = ⅓ πr²h
Radius = r = 5 unit
Height = h = 5 unit
π = 3.14
By inserting the values of each variables, we have:
Volume of cone = ⅓ × 3.14× (5)² × 5
= ⅓ × 3.14× 25×5 = ⅓ × 3.14×125
Volume of cone = (392.5)/3
Volume of cone = 130.8333
Volume of cone = 130.83 cubic units (to the nearest hundredth)
Volume of cone = 130.83 unit³
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Answer:
b = 15.75
Step-by-step explanation:
Lets find the interception points of the curves
36 x² = 25
x² = 25/36 = 0.69444
|x| = √(25/36) = 5/6
thus the interception points are 5/6 and -5/6. By evaluating in 0, we can conclude that the curve y=25 is above the other curve and b should be between 0 and 25 (note that 0 is the smallest value of 36 x²).
The area of the bounded region is given by the integral
The whole region has an area of 250/9. We need b such as the area of the region below the curve y =b and above y=36x^2 is 125/9. The region would be bounded by the points z and -z, for certain z (this is for the symmetry). Also for the symmetry, this region can be splitted into 2 regions with equal area: between -z and 0, and between 0 and z. The area between 0 and z should be 125/18. Note that 36 z² = b, then z = √b/6.
125/18 = b^{1.5}/9
b = (62.5²)^{1/3} = 15.75