Acone with a radius of 6 cm and a height of 8 cm has the same volume as a cylinder with a height of 6 cm. what is the radius
of the cylinder?
a)4 cm
b)4 cm
c)6 cm
d) 8 cm

The radius of the cylinder is 4 cm.

Step-by-step explanation:

Given:

radius of cone = 6 cm

height of the cone = 8 cm

height of cylinder = 6 cm

We need to find the radius of cylinder.

Solution:

First we will find the volume of cone.

Volume of cone is one third time square of radius times height times π.

framing in equation form we get;

Volume of cone =

Now Volume of cylinder is given by square of radius times height times π.

framing in equation form we get;

Volume of cylinder =

Now it has been given that;

Volume of cone is equal to Volume of cylinder.

so we can say that

Dividing both side by 18.84 we get;

Taking square root on both side we get;

Hence the radius of the cylinder is 4 cm.

6mm^3 or .6cm^3

      216

      /   \

  36     6

  /   \     /

6     6   6

factor trees are nice.

d. $180

step-by-step explanation:

if the dimensions of the room is 9ft by 12 ft, we have the area of the floor as,

so the area of the floor is 108 square feet, converting that into square yards we get,

the cost of carpet is $15 per square yard, therefore the cost of carpet for 12 square yards is,

hence, the cost of carpet is $180.

assuming the dimensions of the room be,

15 ft by 12 ft

so, the area of the floor of that room is,

we can convert 180 square feet into square yards, we know that,

1 sq ft = 0.111 sq yard

so, 180 square feet is,

so the area of floor is 20 square yards.

now, the cost of carpet is 15 dollars per square yard, therefore the cost of carpet for 20 square yards is,

so, it will cost $300.