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How to find surface area and volume of a cone

Surface area:We know that the base of a cone is a circle, which has a surface area of πr 2 , where r is the radiusThe rest of the area will be π, r and l (the slanted length) multiplied togetherAnd then, we ...
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Answered by Fruzsina F. • Maths tutor
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How to find the angle between two 3-dimensional vectors:

The formula to find the cosine of the angle is: cosA= u.v/|u|x|v|; 1. u.v means that you multiply the x coordinates together, then the y coordinates and the z coordinates, and add them all together: (x 1 x 2...
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Answered by Fruzsina F. • Maths tutor
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The equation of the line L1 is y = 3x – 2 The equation of the line L2 is 3y – 9x + 5 = 0 Show that these two lines are parallel.

In this question, you are being asked to show L1 and L2 are parallel. The equations of two parallel lines will have the same gradient. This is the number in front of the x term in the equation, but to compar...
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Answered by Abigail W. • Maths tutor
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log3 (9y + b) – log3 (2y – b) = 2, Find y in terms of b.

Use laws of logarithms to simplify.Log 3 ((9y+b)/(2y-b)) = 2(9y+b)/(2y-b) = 3 2 (9y+b) = 9(2y-b)9y+b = 18y-9bCollect terms.9y = 10by = 10b/9
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Answered by Roy A. • Maths tutor
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Expand and simplify (3a+b)(a-2b).

To expand, you would multiply each term in the first bracket set by each term of the second bracket set. Thus, your expansion would mean:3a^2 -6ab + ab -2b^2 To simplify, note that there are two 'ab' terms i...
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Answered by Hansika R. • Maths tutor
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