The lateral area of a cylinder is 50π yards. if the height is 5, then whats the radius of the base?
Answers
Given:
- The lateral area of a cylinder is 50π yards.
- The height of a cylinder is 5.
To find out:
Find the radius of the base?
Formula used:
Lateral surface area of a cylinder = 2rh
Solution:
Lateral surface area of a cylinder = 50
→ 2rh = 50
→ 2 × r × 5 = 50
→ 10 × r = 50
→ r = 50/10
→ r = 5
Hence, The radius of the base is 5.
Extra information:
- Volume of right circular cylinder = r²h
- Volume of hollow cylinder = h ( R² - r² )
- Total surface area of circular cylinder = 2r ( h + r )
- Total surface area of hollow cylinder = 2Rh + 2rh + 2( R² - r² )
Given:
• The lateral area of a cylinder is 50π yards
• The height of a cylinder is 5.
To find out:
Find the radius of the base?
Formula used:
Lateral surface area of a cylinder = 2rh
Solutions:
Lateral surface area of a cylinder = 50
2rh = 50
2 × r × h = 50
2 × r × 5 = 50
10 × r = 50
r = 50/10
r = 5
Hence, the radius of the base is 5.
Extra information:
• Volume of right circular cylinder = r²h
• Volume of hollow cylinder = h(R² - r²)
• Total surface area of circular cylinder = 2r(h + r)
• Total surface area of hollow cylinder = 2Rh + 2rh + 2(R² - r²)
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