Sri Pratyangira Institute
1. The ratio between the curve surface and the total surface area of a right circular cylinder
is 1:2. Find the ratio between the height and radius of cylinder.
Answer:1078cm3
2. The radii of two right circular cylinders are in ratio 2:3 and their heights are in the ratio
5:4. calculate the ratio of their curved surface areas.
Answer:20:27,10:9
3. The inner diameter of a cylindrical wooden pipe is 24cm and its outer diameter is 28cm. The
length of the pipe is 35cm. Find the mass of the pipe, if 1 cm3 of wood has a mass of 0.6g.
Answer:
4. If costs Rs 2200 to paint the inner curved surface of a cylindrical vessel 10m deep. If the cost
of painting is at the rate of Rs 20 per metre square, find
5. Inner CSA of the vessel.
Answer: 110m2
6. Radius of the base.
Answer: 7/4m
7. Capacity of the vessel
Answer: 96.25m3
8. The capacity of a closed cylindrical vessel of height 1 m is 15.4 litres. How many square
metres of metal sheet would be needed to make it?
Answer: 0.4708m2
9. A lead pencil consists of a cylinder of wood with a solid cylinder of graphite filled in the
interior. The diameter of the pencil is 7mm and the diameter of the graphite is 1mm. If the
length of the pencil is 14cm, find the(i) volume of the graphite (ii) volume of the wood (iii)
the weight of the whole pencil, if the specific gravity of the wood is 0.7gm/cm3and that of
the graphite is 2.1gm/cm3.
Answer:(i) 0.11cm3 (ii) 5.28cm3 (iii) 3.927gm
10. A patient in a hospital is given soup daily in a cylindrical bowl of diameter 7cm. If the bowl is
filled with soup to a height of 4cm, how much soup the hospital has to prepare daily to serve
250 patients ?
Answer: 38.5liters
11. The diameter of a roller 120cm long is 84cm.If it takes 500 complete revolution to level a
playground, determine the cost of leveling it at the rate of 30 paise per square.
Answer: 475.20
12. A solid cylinder has total surface area of 462cm2. Its curved surface area is one third of its
total surface area. Find the radius and height of the cylinder.
Answer:r=7cm, h=
7
2
13. The total surface area of a hollow cylinder which is open from both sides is 4620sq.cm, area
7
of base ring is 115.5cm2 and height 7 cm. Find the thickness of cylinder. Answer:19
14. Find the ratio between the total surface area of a cylinder to its curved surface area given
that its height an1d radius are 7.5cm and 3.5cm .
Answer:22:15
15. The total surface area of a hollow metal cylinder ,open at both ends of external radius 8
cm and height 10 cm is 338p cm2. Taking r to be inner radius, obtain an equation in r
and use it to obtain the thickness of the metal in the cylinder.
Answer: 3cm
16. A cylindrical vessel without lid has to be tin coated on its both sides .If the radius of the
base is 70 cm and its height is 1.4 m ,calculate the cost of tin coating at the rate of Rs3.50
per 1000 cm 2.
Answer:539
17. The diameter of the roller 1.5 m long is 84 cm .If it takes 108 revolution to level a
playground , Find the cost of leveling this ground at the rate of 50p per sq m .
Answer:198
18.