The volume of a cone is 50 pi cubic feet. Its height is 6 feet. In feet, what is the radius of the cone? Round the answer to the nearest tenth.

*The answer is 5*

Radius= 5.0ft ( given)

Step-by-step explanation:

Given: Volume of cone= 50π ft^3

Height of cone= 6ft

Required: Radius

Volume of cone= 1/3 * π * r^2 *h

(or)

r^2= Volume *3/h π ( Just disintegrating the formula and taking radius^2 to the left hand side(L.H.S) )

= (50 π *3)/(6)π

= 50/2 (because, 3 π /6 π = 1/2)

r^2 = 25

now, r =√25= 5.0 ft

Therefore, the radius of the cone is 5.0 ft(to the nearest tenth) :)

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