The radius of the base of a cylinder is 27 cm and its height is 37 cm. find the surface area of the cylinder in terms of π
a. 3520π cm^2

b. 3456π cm^2

c. 3429π cm^2

d. 3419π cm^2

the surface area of the cylinder in terms of π is 3,456 π cm² (option B ).

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

Radius of the base of cylinder r = 27cm  

Height of the cylinder h = 33cm  

Surface area of the Cylinder = Area of two base circles + Area of rolled  

Area of each circle base is π x r². So, the area of two base circles is 2π x r².

Area of the area rolled: 2 x π x r x h  

Replacing the variables with the values given:

Surface area = 2π x r² + 2 x π x r x h  

s = 2 x π x 27² + 2 x π x 27x 37

s = 1,458 π + 1,998 π

s= 3,456 π

In conclusion, the surface area of the cylinder in terms of π is 3,456 π cm²(option B ).

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.

the answer is d

step-by-step explanation: