Question

What is the surface area of a cylinder that is 5 centimeters high and has a diameter of 1.5 centimeters?

A. 7.5π cm^2
B. 8.625π cm^2
C. 10.5 π cm^2
D. 19.55π cm^2

Answer 1

The surface area of cylinder is 8.625
`\pi`
`cm^(2)`, if the cylinder has 5 centimeters high and 1.5 cm of diameter.

Explanation:

The given is,

Cylinder has a 5 centimeters height

Diameter of the cylinder is 1.5 centimeters

Step:1

Formula for the surface area of cylinder is,

`A=2\pi r h + 2\pi r^(2)`......................................(1)

Where,

h - Height of cylinder

r - Radius of cylinder

From the values of h and r,

`r=(d)/(2)`

=
`(1.5)/(2)`

r = 0.75 cm

From the formula,

= ( 2 ×
`\pi` × 0.75 × 5 ) + ( 2 ×
`\pi` ×
`0.75^(2)` )

= ( 7.5
`\pi` ) + ( 1.125
`\pi` )

A = 8.625
`\pi`
`cm^(2)`

Result:

The surface area of cylinder is 8.625
`\pi`
`cm^(2)`, if the cylinder has 5 centimeters high and 1.5 cm of diameter.