Evaluate (sec A + tan A)⋅(1 – sin A) for A = 60°.

Two right circular cones have their heights in the ratio 1 : 3 and radii in the ratio 3 : 1, what is the ratio of their volumes?

Using the empirical formula, find the mode of a distribution whose mean is 8.32 and the median is 8.05.

Find the value of p, if the mean of the following distribution is 7.5.

Read the following passage and ans the questions given at the end:

Students of Class XII presented a gift to their school in the form of an electric lamp in the shape of a glass hemispherical base surmounted by a metallic cylindrical top of same radius 21 com and weight 3.5 cm. the top was silver coated and the glass surface was painted red.

(i) What is the cost of silver coating the top at the rate of ₹ 5 per 100 cm²?

(ii) What is the surface area of glass to be painted red?