cce group project E mathezine rpvv rohini by sushma singh,

1. MATHEMATICS
COMPUTER WORK
TANUJ SHARMA
9330
HAND WORK
MRIGRAJ
9313
SUBMITTED TO
Mrs. SUSHMA SINGH MAM
E-MATHEZEZNE

2. 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. No
3. What is the volume of a cylinder?
Sol. (22/7) × r²h
4. If r of cylinder is doubled, then by how much it’s
volume will increase?
Sol. (22/7) × d²h

3. Viva-voce
area 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)²
3. 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.

4. Quiz
round 1
Questions
1. Express 0.46666.....in the form of p/q.
Sol. Let x =0.46666.... -1
Multiplying by 10 on both sides
10x = 10 × 0.46666...
10x = 4.6666.... -2
Multiplying by 10 again
10x ×10 = 46.6666....-3
Subtracting 2 from 3
100x - 10x = 46.6666...- 4.6666....
90x = 42
X = 42/90

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

6. Round 2
1. What is the probability of birthdays of two
friends falling in different date in a non-leap
year?
Sol. ¾
2. 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

7. 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. 53/365
3. Find the mean of first 8 prime numbers.
Sol. (2+3+5+7+11+13+17+19)/2
= 77/2
=38.5