A can is 7 inches high and has a radius of 2 inches. P2 in
7 in
Enter the volume, in cubic inches, of the can. Round your answer to the nearest hundredth.

9514 1404 393

  87.96 in³

Step-by-step explanation:

The volume is given by the formula ...

  V = πr²h

Using the given numbers, we find the volume to be ...

  V = π(2 in)²(7 in) = 28π in³ ≈ 87.96 in³

since both sides equal, there are infinitely many olutions.

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places