MATHEMATICS

COMPUTER WORKTANUJ SHARMA

9330

HAND WORK

MRIGRAJ9313

SUBMITTED TOMrs. SUSHMA SINGH MAM

E-MATHEZEZNE

AREA OF RIGHT CIRCULAR CYLINDER

Questions/answers:1. What is a cylinder? Sol. If the stack is kept vertically up and kept at right

angles to the base and the base is circular then the cylinder is called right circular cylinder.

2. Is there any vertex of the cylinder?Sol. No3. What is the volume of a cylinder?Sol. (22/7) × r²h4. If r of cylinder is doubled, then by how much it’s

volume will increase?Sol. (22/7) × d²h

Viva-vocearea of a circle

• Question/answers :1. How will you define circle?Sol. The collection of all the points in a plane , which are at a

fixed distance from a fixed point in the plane, is called circle.2. Mention the area of circle in terms of diameter.Sol. (22/7)*(d/2)²3. What s the formula to find the area of sector of radius r and

it’s central Ѳ?Sol. The region between an arc and two radii, joining the centre

to end points of the arc is known as circle.4. What is the area of rectangle?Sol. Length × breadth = area of rectangle.

Quiz round 1

Questions1. Express 0.46666.....in the form of p/q.Sol. Let x =0.46666.... -1Multiplying by 10 on both sides10x = 10 × 0.46666...10x = 4.6666.... -2Multiplying by 10 again10x ×10 = 46.6666....-3Subtracting 2 from 3100x - 10x = 46.6666...- 4.6666....90x = 42X = 42/90

2.Express 1.3636.... in the form of p/q.Sol. Let x be 1.3636....Multiplying by 100 both sides100x = 1.3636......× 100100x = 136.36.... – 1Multiplying 1 by 100 on both sides100x × 100 = 13636.3636...... – 2 Subtracting 1 from 2 10000x – 100x = 13636.36363.... – 136.3636....9900x = 13500X = 13500/9900

Round 2

1. What is the probability of birthdays of two friends falling in different date in a non-leap year?

Sol. ¾2. Find : 1/(2+√3) + 1/(√3+√2) + 1/√2+1)Sol. 1/(2+√3) + 1/(√3+√2) + 1/(√2+1)= [√6 + 2 + √3 + √2 + 2√2 + √6 + 2 + √3 + 2√3 + 3

+ 2√2 + √6 ] / [ 3√6 + 5√2 + 7 + 4√3 ]= 1

Round 3

Questions :1. Find :- [1/(√2+ √3)] + [1/(√2- √3)]= [√2- √3 + √2+ √3] / ( 2-3)= - 2 √2. What are the probability of 53 sundays in the year 2005?Sol. 53/3653. Find the mean of first 8 prime numbers.Sol. (2+3+5+7+11+13+17+19)/2= 77/2=38.5