FIND THE VOLUME OF A CONE 0F DIAMETER 14M AND HEIGHT 21CM. (TAKE = 3 )
1 answer:
Answer:
343π
Step-by-step explanation:
To find the volume of a cone, we have to use this formula
× π × r² × h
Where 'r' is the radius and 'h' is the height
Let's start putting in the value's
We have diameter but in the formula we need the radius so we half the diameter to get the radius so 14 ÷ 2 = 7
× π × r² × h
× π × 7² × 21
→ Simplify the expression
× π × 49 × 21
→ Simplify it further
343π
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Answer:
P = 9 is the max value
Step-by-step explanation:
Sketch
2x + 4y = 10
with x- intercept = (5, 0) and y- intercept (0, 2.5)
x + 9y = 12
with x- intercept = (12, 0) and y- intercept = (0, )
Solve
2x + 4y = 10 and x + 9y = 12 to find the point of intersection at (3, 1)
The region corresponding to the solution of the system of constraints
Has vertices at (0, ), (0, 0) , (5, 0) and (3, 1)
Now evaluate the objective function at each vertex.
(0, 0) can be excluded as it will not give a maximum
(5, 0) → P = 5 + 0 = 5
(0, ) → 0 + 8 = 8
(3, 1) → 3 + 6(1) = 3 + 6 = 9 ← maximum value
Thus the maximum value is 9 when x = 3 and y = 1