ahmedcx42
Answered

Discover the answers you need at Westonci.ca, a dynamic Q&A platform where knowledge is shared freely by a community of experts. Get accurate and detailed answers to your questions from a dedicated community of experts on our Q&A platform. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.



What is the surface area of a cylinder with base radius 2 and height 9
Either enter an exact answer in terms of T or use 3.14 for and enter your answer as a decimal.

Sagot :

We know that,

[tex] \qquad{ \pmb{ \bf{{Total \: surface \: area}_{(cylinder)} = 2πr(h + r) }}}[/tex]

Now, Substituting the given values in the formula :

[tex]\qquad \sf \: { \dashrightarrow 2 × π × 2 (9 + 2) }[/tex]

[tex]\qquad \sf \: { \dashrightarrow 2 × π × 2 (11) }[/tex]

[tex]\qquad \sf \: { \dashrightarrow 2 × π × 22 }[/tex]

[tex]\qquad \sf \: { \dashrightarrow 44 π }[/tex]

[tex]\qquad \sf \: { \dashrightarrow 44 π } \: [/tex]

Since, value of pi is 3.14 approximately, therefore here we will take the value of pi as 3.14

[tex]\qquad \sf \: { \dashrightarrow 44 \times 3.14 } \: [/tex]

[tex]\qquad \sf \bf { \dashrightarrow 138.16 } \:[/tex]

Therefore,

  • Surface area of cylinder is 138.16 cm²

nuhulawal20

The surface area of the cylinder with the given values of base radius and height is approximately 138.16 units².

What is a cylinder?

A cylinder is simply a 3-dimensional shape having two parallel circular bases joined by a curved surface.

The surface area of a cylinder is expressed as;

A = 2πrh + 2πr²

Where r is radius of the circular base, h is height and π is constant pi ( π = 3.14 )

Given the data in the question;

  • Radius r = 2 units
  • Height h = 9 units
  • Surface area of the cylinder A = ?

We substitute our values into the expression above.

A = 2πrh + 2πr²

A = ( 2 × 3.14 × 2 units × 9 units ) + ( 2 × 3.14 × (2 unit)² )

A = ( 2 × 3.14 × 2 units × 9 units ) + ( 2 × 3.14 × 4 unit² )

A = 113.04 units² + 25.12 units²

A = 138.16 units²

Therefore, the surface area of the cylinder with the given values of base radius and height is approximately 138.16 units².

Learn more about cylinders here: brainly.com/question/16788902

#SPJ5

We appreciate your visit. Hopefully, the answers you found were beneficial. Don't hesitate to come back for more information. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.