Question
Find the surface area and volume of the cylinder. 6cm height, 4cm length
Answers
GPT 3.5
The formula for the surface area of a cylinder is:
Surface Area = 2πr(r + h)
Where r is the radius of the base and h is the height of the cylinder.
Given that the length of the cylinder is 4cm, the radius (r) would be half of that which is 2cm. And the height (h) is given as 6cm.
Surface Area = 2π(2)(2 + 6)
Surface Area = 2π(2)(8)
Surface Area = 32π cm^2
Now, let's calculate the volume of the cylinder using the formula:
Volume = πr^2h
Volume = π(2)^2(6)
Volume = 4π(6)
Volume = 24π cm^3
So, the surface area of the cylinder is 32π cm^2 and the volume is 24π cm^3.
Surface Area = 2πr(r + h)
Where r is the radius of the base and h is the height of the cylinder.
Given that the length of the cylinder is 4cm, the radius (r) would be half of that which is 2cm. And the height (h) is given as 6cm.
Surface Area = 2π(2)(2 + 6)
Surface Area = 2π(2)(8)
Surface Area = 32π cm^2
Now, let's calculate the volume of the cylinder using the formula:
Volume = πr^2h
Volume = π(2)^2(6)
Volume = 4π(6)
Volume = 24π cm^3
So, the surface area of the cylinder is 32π cm^2 and the volume is 24π cm^3.