9) The base radius and height of a
right circular cylinder are 5 cm and 10
cm. Its total surface area is
Answers
Answer :
›»› The total surface area of right circular cylinder is 471.42 cm².
Step-by-step explanation :
Given :
- Radius of right circular cylinder = 5 cm.
- Height of right circular cylinder = 10 cm.
To Find :
- Total surface area of right circular cylinder = ?
Formula required :
Formula to find the total surface area of right circular cylinder is given by,
→ TSA of cylinder = 2πrh + 2πr².
Here,
- TSA is the Total surface area.
- The value of π is 22/7.
- r is the Radius of cylinder.
- h is the Height of cylinder.
Units,
- The unit of total surface area is cm².
- The unit of radius is cm.
- The unit of height is cm.
Solution :
We know that, if we are given with the radius of right circular cylinder and height of right circular cylinder then we have the required formula, that is,
→ TSA of cylinder = 2πrh + 2πr².
By using the formula to find the total surface area of right circular cylinder and substituting all the given values in the formula, we get :
→ TSA of cylinder = {(2 * 22/7 * 5 * 10) + (2 * 22/7 * 5²)}
→ TSA of cylinder = {(44/7 * 5 * 10) + (2 * 22/7 * 5²)}
→ TSA of cylinder = {(220/7 * 10) + (2 * 22/7 * 5²)}
→ TSA of cylinder = 2200/7 + (2 * 22/7 * 5²)
→ TSA of cylinder = 314.28 + (2 * 22/7 * 25)
→ TSA of cylinder = 314.28 + (44/7 * 25)
→ TSA of cylinder = 314.28 + 1100/7
→ TSA of cylinder = 314.28 + 157.14
→ TSA of cylinder = 471.42.
Hence, the total surface area of right circular cylinder is 471.42 cm².
Answer :
›»› The total surface area of right circular cylinder is 471.42 cm².
Step-by-step explanation :
Given :
Radius of right circular cylinder = 5 cm.
Height of right circular cylinder = 10 cm.
To Find :
Total surface area of right circular cylinder = ?
Formula required :
Formula to find the total surface area of right circular cylinder is given by,
→ TSA of cylinder = 2πrh + 2πr².
Here,
TSA is the Total surface area.
The value of π is 22/7.
r is the Radius of cylinder.
h is the Height of cylinder.
Units,
The unit of total surface area is cm².
The unit of radius is cm.
The unit of height is cm.
Solution :
We know that, if we are given with the radius of right circular cylinder and height of right circular cylinder then we have the required formula, that is,
→ TSA of cylinder = 2πrh + 2πr².
By using the formula to find the total surface area of right circular cylinder and substituting all the given values in the formula, we get :
→ TSA of cylinder = {(2 * 22/7 * 5 * 10) + (2 * 22/7 * 5²)}
→ TSA of cylinder = {(44/7 * 5 * 10) + (2 * 22/7 * 5²)}
→ TSA of cylinder = {(220/7 * 10) + (2 * 22/7 * 5²)}
→ TSA of cylinder = 2200/7 + (2 * 22/7 * 5²)
→ TSA of cylinder = 314.28 + (2 * 22/7 * 25)
→ TSA of cylinder = 314.28 + (44/7 * 25)
→ TSA of cylinder = 314.28 + 1100/7
→ TSA of cylinder = 314.28 + 157.14
→ TSA of cylinder = 471.42.
Hence, the total surface area of right circular cylinder is 471.42 cm².