A right circular solid cone of base radius 42cm and height 84cm has the same volume as a solid cylinder of height 112cm find the radius of the cylinder

21 cm

Step-by-step explanation:

Volume of cone is given by

volume of cylinder is given by

where r is the radius of base and h is the height

_________________________________

For cone

radius = 42cm

height = 84

volume =  (1)

________________________________

For cone

radius = to find let it be r

height =112

volume =  (2)

_______________________________________

since , volume of both solid are same

thus, equation 1 = equation 2

Thus, radius of cylinder is 21 cm

answer:

(-8,7)

explanation:

we know that  

f

(

−

3

)

=

7

therefore, if we wish to get the output as 7, in the function, we need to have our input to be -3.

looking at the function  

f

(

x

+

5

)

, what should the value of x be, such that the input in the function becomes 7?

we simply equate the terms,

x

+

5

=

−

3

x

=

−

8

thus, the point on the new function would be  

(

−

8

,

7

)

3, 12, 48, 384, 1536, 6144, 24576, 98304

step-by-step explanation:

just keep timing it by 4.