(English Medium) ICSE Class 10 - CISCE Question Bank Solutions

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In a Arithmetic Progression (A.P.) the fourth and sixth terms are 8 and 14 respectively. Find that:
(i) first term
(ii) common difference
(iii) sum of the first 20 terms. 

A hemispherical and a conical hole is scooped out of a.solid wooden cylinder. Find the volume of the  remaining solid where the measurements are as follows:
The height of the solid cylinder is 7 cm, radius of each of hemisphere, cone and cylinder is 3 cm. Height of cone is 3 cm.

Give your answer correct to the nearest whole number.Taken`pi = 22/7`.

The model of a building is constructed with the scale factor 1 : 30. 
(i) If the height of the model is 80 cm, find the actual height of the building in meters.
(ii) If the actual volume of a tank at the top of the building is 27m³, find the volume of the tank on the top of the model.