What is the surface area of a conical grain storage tank that has a height of 54 meters and a diameter of 18 meters

  81π(1+√37) m² ≈ 1802.3 m²

Step-by-step explanation:

The total surface area will be the sum of the lateral area and the area of the base. In order to find the lateral area, we need to know the slant height of the tank.

The slant height is the hypotenuse of a right triangle that has one leg equal to the height of the bin, and the other leg equal to its radius. The radius is half the diameter, so is 9 m.

  s² = h² +r²

  s² = 54² +9² = 9²·37 . . . . fill in the known values

  s = 9√37 . . . . . . . . . . . . square root

The lateral area is ...

  LA = πrs

  LA = π(9 m)(9√37 m) = 81√37π m²

The base area is ...

  B = πr²

  B = π(9 m)² = 81π m²

The total surface area of the tank is ...

  SA = LA +B

  SA = (81√37π m²) +(81π m²) = 81π(1+√37) m² ≈ 1802.3 m²

45.36 feet per second.

step-by-step explanation:

to find the most accurate determination for the number of feet per second tyrone traveled on his way to work let us convert miles to feet and minutes to seconds.

1 mile = 5280 feet.

1 minute = 60 seconds.

now we will divide 158400 by 3492 to find the most accurate determination for the number of feet per second tyrone traveled on his way to work.

therefore, tyrone traveled on his way to work at the rate of 45.36 feet per second.

step-by-step explanation:

to determine whether a given function is even, we simply substitute x with -x in the expression. if the result after simplification is identical to the original equation, then the function is said to be even other wise odd.

f(-x) = (-x)^2 - (-x) + 8

      = x^2 + x +8

the resulting function is not identical to the original one;

f(-x) ≠ f(x)

therefore, f(x) is not an even function