Solution : The formula for volume of cylinder of base radius r and height h is \(\pi r^2 h\). Read Post : Formula for Volume of Cylinder – Definition & Examples Similar Questions What is the Formula for Volume of Cuboid ? What is the Formula for Surface Area of Cube ? What is the …
Solution : The curved surface area of cylinder is \(2\pi rh\) And the total surface are of cylinder is \(2\pi r(h + r)\). Read Post : Formula for Surface Area of cylinder – Derivation & Example Similar Questions What is the Formula for Volume of Cuboid ? What is the Formula for Surface Area of …
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Here you will learn formula for surface area of cylinder (total surface area and curved surface area) with examples. Let’s begin – Formula for Surface Area of cylinder (a) Total Surface Area T.S.A = \(2\pi r(h + r)\) (b) Curved Surface Area C.S.A = \(2\pi rh\) Also Read : Formula for Volume of Cylinder – …
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Solution : Let I = \(\int\) \(tan^{-1}\sqrt{x}\).1 dx By Applying integration by parts, Taking \(tan^{-1}\sqrt{x}\) as first function and 1 as second function. Then I = \(tan^{-1}\sqrt{x}\) \(\int\) 1 dx – \(\int\) {\(d\over dx\)\(tan^{-1}\sqrt{x}\) \(\int\) 1 dx } dx I = x\(tan^{-1}\sqrt{x}\) – \(\int\) \(1\over 2(1+x)\sqrt{x}\) . x dx Let \(\sqrt{x}\) = t \(1\over 2\sqrt{x}\) …
Solution : Let I = \(\int\) x\(tan^{-1}x\) dx By using Integration by parts rule, Taking tan inverse x as first function and x as second function. Then, I = (\(tan^{-1}x\)) \(\int\) x dx – \(\int\){\({d\over dx}\)(\(tan^{-1}x\) \(\int\) x dx} dx I = (\(tan^{-1}x\))\(x^2\over 2\) – \(\int\)\({1\over 1 + x^2}\) \(\times\) \(x^2\over 2\) dx \(\implies\) I …
Here you will learn what is the formula for volume of cube, its derivation and examples based on it. Let’s begin – Formula for Volume of Cube Let the side or edge of the cube be a, Then the Volume of Cube = side \(\times\) side \(\times\) side = \(a^3\) Also Read : Formula for …
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Here you will learn what is the formula for volume of cuboid, its derivation and examples. Let’s begin – Formula for Volume of Cuboid suppose, the length of cuboid is l, breadth of cuboid is b and height of cuboid is h. Then Volume of Cuboid = l \(\times\) b \(\times\) h Also Read : …
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Here you will learn formula for surface area of cube (total surface area and lateral surface area), its derivation and examples. Let’s begin – What is Cube ? A cube is a cuboid which has all its edges or sides equal i.e length = breadth = height = s (side of cube). Formula for Surface …
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Here you will learn formula for surface area of cuboid (total surface area and lateral surface area), its derivation and examples based on it. Let’s begin – What is Cuboid ? A cuboid is a three dimensional box. It is defined by the virtue of its length l, breadth b and height h. It can …
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Here you will learn concept of gcd ot hcf and how to find greatest common divisor or highest common factor of numbers and fractions with examples. Let’s begin – Concept of GCD or HCF Consider two natural numbers \(n_1\) and \(n_2\). If the numbers \(n_1\) and \(n_2\) are exactly divisible by the same number x, …
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