## Formula for Circumference of Circle (Perimeter) – Examples

Here you will learn what is the formula for circumference of circle (perimeter of circle) with examples. Let’s begin – What is Circumference ? The perimeter (boundary) of a circle is called its circumference. It is the distance covered by travelling once around circle. Formula for Circumference of Circle (Perimeter of Circle) Circumference of circle …

## Find the total surface area of hemisphere of radius 10cm ?

Solution : Here radius = 10 cm We know that the surface area of hemisphere = $$3 \pi r^2$$ = $$3 \times 3.14 \times 10 \times 10$$ = 942 $$cm^2$$

## Surface Area of Hemisphere – Formula & Examples

Here you will learn what is the formula for surface area of hemisphere (total and curved surface area of hemisphere) with examples. Let’s begin – What is Hemisphere ? Let us take a solid sphere, and slice it exactly ‘through the middle’ with a plane that passes through its centre. It gets divided into two …

## Volume of Sphere and Hemisphere – Formula & Examples

Here you will learn what is the formula for volume of sphere and hemisphere with examples based on it. Let’s begin –  Formula for Volume of Sphere and Hemisphere (i) Volume of Sphere Formula Volume of sphere = $${4\over 3}\pi r^3$$ where r is the radius of sphere. (ii) Volume of Hemisphere Formula Volume of …

## Formula for Surface Area of Sphere with Examples

Here you will learn what is the formula for surface area of sphere and examples based on it. Let’s begin – What is Sphere ? A sphere is a three dimensional figure (solid figure), which is made up of all points in the space, which lie at a constant distance called the radius, from a …

## Formula for Volume of Cone with Examples

Here you will learn what is the formula for volume of cone and examples based on it. Let’s begin – What is Cone ? A cone is a solid which has a circle at its base and a slanting lateral surface that converges at the apex. Its dimensions are defined by the radius of the …

## What should be the height of the conical tent ?

Question : In a marriage ceremony of her daughter Poonam, Ashok has to make arrangements for the accommodation of 150 persons. For this purpose, he plans to build a conical tent in such a way that each person has 4 sq. meters of the space on ground and 20 cubic meters of air to breath. …

## Surface Area of Cone – Formula & Examples

Here you will learn formula for the curved surface area and total surface area of cone and its derivation with examples. Let’s begin – What is Cone ? A cone is a solid which has a circle at its base and a slanting lateral surface that converges at the apex. Its dimensions are defined by …

## What is the Equation of Director Circle of Hyperbola ?

Solution : The locus of the intersection of tangents which are at right angles is known as director circle of the hyperbola. The equation to the director circle is : $$x^2+y^2$$ = $$a^2-b^2$$ If $$b^2$$ < $$a^2$$, this circle is real ; If $$b^2$$ = $$a^2$$ the radius of the circle is zero & it …

## What is the parametric equation of ellipse ?

Solution : The equation x = acos$$\theta$$ & y = bsin$$\theta$$ together represent the parametric equation of ellipse $${x_1}^2\over a^2$$ + $${y_1}^2\over b^2$$ = 1, where $$\theta$$ is a parameter. Note that if P($$\theta$$) = (acos$$\theta$$, bsin$$\theta$$) is on the ellipse then ; Q($$\theta$$) = (acos$$\theta$$, bsin$$\theta$$) is on auxilliary circle. A circle described on …