a spherical container with a radius of 4 ft is filled with gas that costs$12 per cubic foot what is the total value of the gas i
1 answer:
The spherical container has a radius of 4ft (where ft represents feet)
Its filled with gas that costs $12 per ft³
The value of gas in the container = ?
The volume of a sphere = 4/3r³
The volume of the container = 4/3 × × 4³ ft³
One cubic foot = $12
4/3 × × 64 = How much?
Cross multiplying gives:
4/3 × ×64 × $12 = $3216.99 (Rounded up to nearest one cent)
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Answer:
Required equation of tangent plane is .
Step-by-step explanation:
Given surface function is,
To find tangent plane at the point (5,-1,1).
We know equation of tangent plane at the point $(x_0,y_0,z_0)[/tex] is,
So that,
Substitute all these values in (1) we get,
Which is the required euation of tangent plane.