Q24. Find the total surface area of a
closed cylindrical drum if its diameter
is 40cm and its height is 44cm.
O 8038.4 sqcm
O 8038 sqcm
O 8803.4 sqcm
O 8308 sqcm
Answers
Given:
Cylindrical Drum with
- Diameter = 40 cm
- Height = 44 cm
What To Find:
We have to find the TSA of the cylindrical drum.
Formula Needed:
TSA of the cylinder-
- TSA = 2πr (h + r)
Converting Diameter into Radius:
- Diameter - 40 cm
- Radius - 40/2 = 20 cm
Solution:
Using the formula,
⇒ TSA = 2πr (h + r)
Substitute the values,
⇒ TSA = 2 × 22/7 × 20 × (44 + 20)
Solve the brackets,
⇒ TSA = 2 × 22/7 × 20 × 64
Multilpy 2, 22, 20 and 64,
⇒ TSA = 56320/7
Divide 56320 by 7,
⇒ TSA = 8,045.7 sq. cm
Final Answer:
Thus, the TSA of the cylindrical drum is 8,045.7 sq. cm.
Note:
The options given here are incorrect. Kindly cross-check them.
Step-by-step explanation:
Given:
Cylindrical Drum with
Diameter = 40 cm
Height = 44 cm
What To Find:
We have to find the TSA of the cylindrical drum.
Formula Needed:
TSA of the cylinder-
TSA = 2πr (h + r)
Converting Diameter into Radius:
Diameter - 40 cm
Radius - 40/2 = 20 cm
Solution:
Using the formula,
⇒ TSA = 2πr (h + r)
Substitute the values,
⇒ TSA = 2 × 22/7 × 20 × (44 + 20)
Solve the brackets,
⇒ TSA = 2 × 22/7 × 20 × 64
Multilpy 2, 22, 20 and 64,
⇒ TSA = 56320/7
Divide 56320 by 7,
⇒ TSA = 8,045.7 sq. cm
Final Answer:
Thus, the TSA of the cylindrical drum is 8,045.7 sq. cm.
Note:
The options given here are incorrect. Kindly cross-check them.