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A cone has a radius of 2 units and a height of 3 units. Devise a simplified equation to find the volume of the cone.

Vol = 1/3 pi r^2 h

r = 2n

h = 3n

Therefore

Vol = 1/3.pi.(2n)^2.3n

Vol = 1/3.pi.12n^3

Vol = 4.pi.n^3

Answered by Toby M. Maths tutor
2500 Views

Given the function f(x) = (x^2)sin(x), find f'(x).

The function f(x) is a product of 2 functions of x, so when we differentiate it, we need to use the product rule.

The product rule states that for a function f(x) = g(x)*h(x), f'(x) is given by g(x...

Answered by Jason S. Maths tutor
8977 Views

A round cake is shared between Abi, Elvira and Tina. The angle cut at the centre of the cake for each piece is that person’s age multiplied by 10. Abi 9 years old and Elvira is 14 years old. How old is Tina?

The cake is in the shape of a circle. How many degrees in a circle?

Abi is 9 years old so the angle of her slice is 9 x 10 = 90°, Elvera is 14 years old so her angle is 14 x 10 = 140°. Total angle ...

Answered by Varun S. Maths tutor
2290 Views

The gradient of a curve is defined as Dy/dx = 3x^2 + 3x and it passes through the point (0,0), what is the equation of the curve

Integrate this = (3x^3)/3 + (3x^2)/2 + c So y = x^3 + (3x^2)/2 + c Using point (0,0), 0 = 0 + 0 + c so c = 0. Full equation of the curve is therefore x^3 + (3x^2)/2

Answered by Laura T. Maths tutor
5408 Views

Simplify fully: (5 +√7)/ (2+√7)

Can show working on a whiteboard.

Answered by Tony A. Maths tutor
5464 Views

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