EASY
10th CBSE
IMPORTANT
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Figure 1 below is a solid cuboid made of unit cubes. Figure 2 is obtained after removing some unit cubes from figure 1.

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Based on the figures shown above, the surface area of the cuboid in figure 1 is _____ the surface area of the solid in figure 2.

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Important Questions on Surface Areas and Volumes

HARD
10th CBSE
IMPORTANT

Water is supplied to a village through a water tanker.

The water tanker is cylindrical in shape with diameter 110 cm and height 118 cm. A total of 30,000 litres of water is supplied through the tanker.

How many times was the water tanker used? (The tanker was always used at full capacity.) (Use π=3.14 and 1m3=1000 litres)

HARD
10th CBSE
IMPORTANT

A tent is in the shape of a right circular cylinder up to a height of 3 m and conical above it. The total height of the tent is 13.5 m and the radius of its base is 14 m. Find the cost of cloth required to make the tent at the rate of 80 per square meter [Take π=227]

If the required answer is Rs y, what is the value of y?

HARD
10th CBSE
IMPORTANT

Shown below is a “spherical ring". A spherical ring is a sphere with a cylindrical hole drilled through it in such a way that the centres of the cylindrical hole and the sphere coincide. The radius of the spherical ring is 15 cm and the length of hole drilled is 18 cm.

 

The curved surface area of the spherical cap (part shaded in yellow in the figure) of height h, is 2πRh, where R is the radius of the spherical ring.

 

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The surface area of the ring is _____sq cm.

(Note: Use π=3.14 and round your answer to the nearest whole number.)

MEDIUM
10th CBSE
IMPORTANT
A tent in the form of a right circular cone is 3 m high and its base has a diameter of 14 m. If 100 men sleep in it, then find the average number of cubic meters of air space per man.
MEDIUM
10th CBSE
IMPORTANT
A circus tent is in the shape of a cylinder surmounted by a conical top. The height of cylindrical part is 4 m and its diameter is 70 m. The slant height of the conical portion is 40 m. Calculate the total height of the tent. [Use, 15=3.872]
HARD
10th CBSE
IMPORTANT
The height of a cone is 30 cm. A small cone is cut off at the top by a plane parallel to the base. If its volume be 127 of the volume of the given cone, at what height above the base is the section made?
HARD
10th CBSE
IMPORTANT

A conical hole is drilled in a circular cylinder of height 12 cm and base radius 5 cm. The height and the base radius of the cone are also the same. Find the whole surface area and volume of the remaining cylinder in terms of π.

HARD
10th CBSE
IMPORTANT
In one fortnight of a given month, there was a rainfall of 12 cm in a river valley. If the area of the valley is 7000 km2 , show that the total rainfall was approximately equivalent to the addition to the normal water of three rivers each 1240 km long, 75 km wide and 3 m deep.