Question

The height of the right circular cylinder is 10cm and the radius of the base is 7cm, then the total base area is​

Answer 1

Question:

The height of the right circular cylinder is 10 cm and the radius of the base is 7 cm. Then the difference between the total surface area and the curved surface area is ?

Answer:

308cmsquare

Step-by-step explanation:

Given

• Height of cylinder (h)= 10 cm

• Radius of the base(r) = 7 cm

To find:

Difference between TSA and CSA

Solution:

→ The total surface area of a cylinder is given by the formula,

  TSA  = 2 π r × ( r + h)

→ Substituting the datas we get,

  TSA = 2 × (22/7) × 7 ( 7 + 10)

  TSA = 2 × 22 × 17

  TSA = 748 cm²

→ The curved surface area of a cylinder is given by,

 CSA = 2 π r h

→ Substitute the datas,

 CSA = 2 × (22/7) × 7 × 10

 CSA = 2 × 22 × 10

 CSA = 440 cm²

→ Difference between total surface area and curved surface area,

  Difference = TSA - CSA

  Difference = 748 - 440

  Difference = 308 cm²

→ Hence option C is correct

Notes:

→ Curved surface area of a cylinder is given by,

    CSA = 2 π r h

→ Total surface area of a cylinder is given by,

  TSA = 2 π r h (r + h)

→ Volume of a cylinder is given by,

    Volume = π r² h