HARD
10th ICSE
IMPORTANT
Earn 100

The cross-section of a tunnel is a square of side 7 m surmounted by a semicircle as shown in the adjoining figure. The tunnel is 80 m long. 

Calculate; the surface area of the tunnel (excluding the floor).


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Important Questions on Cylinder, Cone and Sphere (Surface Area and Volume)

HARD
10th ICSE
IMPORTANT
Concise Mathematics>Chapter 20 - Cylinder, Cone and Sphere (Surface Area and Volume)>EXERCISE>Q 9

The cross-section of a tunnel is a square of side 7 m surmounted by a semicircle as shown in the adjoining figure. The tunnel is 80 m long. 

Calculate; its floor area.


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HARD
10th ICSE
IMPORTANT
Concise Mathematics>Chapter 20 - Cylinder, Cone and Sphere (Surface Area and Volume)>EXERCISE>Q 10
A cylindrical water tank of diameter 2.8 m and height 4.2 m is being fed by a pipe of diameter 7 cm through which water flows at the rate of 4 m s-1 Calculate in minutes, the time it takes to fill the tank.
 
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10th ICSE
IMPORTANT
Concise Mathematics>Chapter 20 - Cylinder, Cone and Sphere (Surface Area and Volume)>EXERCISE>Q 11
Water flows, at 9 km per hour, through a cylindrical pipe of cross-sectional area 25 cm2. If this water is collected into a rectangular cistern of dimensions 7.5 m by 5 m by 4 m; calculate the rise in level in the cistern in 1 hour 15 minutes.
 
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10th ICSE
IMPORTANT
Concise Mathematics>Chapter 20 - Cylinder, Cone and Sphere (Surface Area and Volume)>EXERCISE>Q 12

The given figure shows the cross-section of a cone, a cylinder and a hemisphere all with the same diameter 10 cm, and the other dimensions are as shown.
Calculate the total surface area,
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HARD
10th ICSE
IMPORTANT
Concise Mathematics>Chapter 20 - Cylinder, Cone and Sphere (Surface Area and Volume)>EXERCISE>Q 12

The given figure shows the crosi-section of a cone, a cylinder and a hemisphere all with the same diameter 10 cm, and the other dimensions are as shown.
Calculate the total volume of the solid and
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HARD
10th ICSE
IMPORTANT
Concise Mathematics>Chapter 20 - Cylinder, Cone and Sphere (Surface Area and Volume)>EXERCISE>Q 12

The given figure shows the cross-section of a cone, a cylinder and a hemisphere all with the same diameter 10 cm, and the other dimensions are as shown.
Calculate:
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The density of the material if its total weight is 1.7 kg.

HARD
10th ICSE
IMPORTANT
Concise Mathematics>Chapter 20 - Cylinder, Cone and Sphere (Surface Area and Volume)>EXERCISE>Q 13
A solid, consisting of a right circular cone standing on a hemisphere, is placed upright in a right circular cylinder, full of water, and
touches the bottom. Find the volume of water left in the cylinder, having given that the radius of the cylinder is 3 cm and its height is 6 cm; the radius of the hemisphere is 2 cm and the height of cone is 4 cm. Give your answer to the nearest cubic centimetre.
HARD
10th ICSE
IMPORTANT
Concise Mathematics>Chapter 20 - Cylinder, Cone and Sphere (Surface Area and Volume)>EXERCISE>Q 14
A metal container in the form of a cylinder is surmounted by a hemisphere of the same radius. The internal height of the cylinder is 7 m and the internal radius is 3-5 m. Calculate the total area of the internal surface, excluding the base.