Question

The height of the right circular cylinder is 10cm and the radius of the base is 7m. Then the difference between the total base area and the curved surface area is
A)300 cm^2
B)308 cm^3
C)308 cm^2
D)308 cm​

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:

$\bigstar{\bold{Option\:C:\:308\:cm^{2} }}$

Step-by-step explanation:

$\Large{\underline{\underline{\bf{Given:}}}}$

• Height of cylinder (h)= 10 cm
• Radius of the base(r) = 7 cm

$\Large{\underline{\underline{\bf{To\:Find:}}}}$

• Difference between TSA and CSA

$\Large{\underline{\underline{\bf{Solution:}}}}$

→ 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

$\boxed{\bold{Difference=308\:cm^{2} }}$

→ Hence option C is correct.

$\Large{\underline{\underline{\bf{Notes:}}}}$

→ 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