The ratio between the curved surface area and the total surface area of a right circular cylinder is 1 : 2. If the total surface area is 616 cm², the volume of the cylinder is :
1232 cm³
1078 cm³
1848 cm³
1548 cm³

Question

The ratio between the curved surface area and the total surface area of a right circular cylinder is 1 : 2. If the total surface area is 616 cm², the volume of the cylinder is :
1232 cm³
1078 cm³
1848 cm³
1548 cm³

KnowledgeBoat · Accepted Answer

Total surface area = 616 cm2 ⇒ 2πr(h + r) = 616 ⇒ πr(h + r) = ⇒ πr(h + r) = 308 ....(1) Ratio between its curved surface area and total surface area = 1 : 2 ⇒ 2h = h + r ⇒ 2h - h = r ⇒ h = r Substituting value of h in eq.(1), we get: ⇒ πr(r + r) = 308 ⇒ πr × 2r = 308 ⇒ 2πr2 = 308 ⇒ h = 7 cm Volume of cylinder = πr2h = × 72 × 7 = 22 × 49 = 1078 cm3. Hence, option 2 is the correct option.

Mathematics

The ratio between the curved surface area and the total surface area of a right circular cylinder is 1 : 2. If the total surface area is 616 cm², the volume of the cylinder is :
1232 cm³
1078 cm³
1848 cm³
1548 cm³

Mensuration

Related Questions

The number of coins, 1.5 cm in diameter and 0.2 cm thick to be melted to form a right circular cylinder of height 10 cm and diameter 4.5 cm, is :
380
450
472
540

Mathematics

The ratio between the curved surface area and the total surface area of a right circular cylinder is 1 : 2. If the total surface area is 616 cm2, the volume of the cylinder is :1232 cm31078 cm31848 cm31548 cm3

Mensuration

Related Questions

The number of coins, 1.5 cm in diameter and 0.2 cm thick to be melted to form a right circular cylinder of height 10 cm and diameter 4.5 cm, is :380450472540

The ratio between the curved surface area and the total surface area of a right circular cylinder is 1 : 2. If the total surface area is 616 cm², the volume of the cylinder is :
1232 cm³
1078 cm³
1848 cm³
1548 cm³

The number of coins, 1.5 cm in diameter and 0.2 cm thick to be melted to form a right circular cylinder of height 10 cm and diameter 4.5 cm, is :
380
450
472
540