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128cm^3

Step-by-step explanation:

With the given cone and the give formula, we can easily plug in the numbers provdied with one step right before.

While the height and diameter is given, we must use radius when working with volume of a cone, and radius is half of the diameter. In this case, the radius would be 4 cm

Plugging in the rest of the numbers, we get (3 * 4^2 * 8) / 3 which comes to a grand total of 128cm^3

option 1 is correct.

step-by-step explanation:

y varies inversely with x and constant of variation is 4

the equation will be:

y = k/x

where k =4 so,

y = 4/x

if we put values of x of option 1 in the above equation and find values of y

y = 4/-2 => y =-2

y = 4/-1 => y = -4

y = 4/1 => y = 4

y = 4/2 => y =2

so, all the values of x and y are correct.

if we put values of x given in other options and find value of y we cannot find whole table satisfying the equation.

hence option 1 is correct.

what does x eaqual

step-by-step explanation: