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  • 1 answers

Rashmi Bajpayee 8 years, 9 months ago

Given : 4πr2 = 6a2

r2/a2 = 6/4π

r/a = √6/2√π

Ratio of their volume = (4/3)πr3/a3

= (4π/3)(6/4π)(√6/2√™)

= √6/√π = √6 : √π

Hence proved.

  • 2 answers

Rashmi Bajpayee 8 years, 9 months ago

Volume of each cube = 125 cu cm

Then, side of each cube = 5cm

If these are joined, then the dimensions of cuboid

Length = 15 cm, Breadth = 5 cm, Height = 5 cm

Total surface area of cuboid = 2(lb + bh + hl)

= 2(15 × 5 + 5 × 5 + 5 × 15)

= 2(75 + 25 + 75)

= 2 × 175

= 350 sq cm

Karthika Gireesh 8 years, 9 months ago

Volume of cube =a3=125cm3

a=cube root of 125=5cm

So,length of cuboid=3×5=15cm

h=5cm

b=5cm

TSA of cuboid=2 (lh+bh+lb)

                         =2 (15+5+5+5+15+5)

                         =2×50

                         =100cm2

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  • 2 answers

Naveen Sharma 8 years, 9 months ago

Ans. Volume of cubical Tank = 15.625 m3

Let Side of cubical Tank = x m

Then, 

{tex}=> x^3 = 15.625{/tex}

{tex}=> x = 2.5 m{/tex}

Present Deptj of water = 1.2 m

Present volume of water = {tex}2.5\times 2.5\times 1.2 = 7.5m^3{/tex}

Volume of water used = 15.625 - 7.5 = 8.125m3

Ratio = 8.125 : 7.5  = 13 : 12

Rashmi Bajpayee 8 years, 9 months ago

Volume of cubical tank = 15.625 cu. m

(Side)3 = 15.625 cu. m

Side = 2.5 m

Volume of water used = 2.5 × 2.5 × 1.2 = 7.5 cu. m

Volume of water left in tank = 15.625 - 7.5 = 8.125 cu. m

Required ratio = 7.5/8.125 = 12/13 = 12 : 13

  • 1 answers

Rashmi Bajpayee 8 years, 9 months ago

4/3 × π(R3 - r3)

  • 1 answers

Rashmi Bajpayee 8 years, 9 months ago

Let Surjeet has Rs. x and Baljeet has Rs. y

Then, according to question,

x + 40 = 3(y - 40)

x - 3y + 160 = 0

Two solutions

x = 110, y = 90.      And.       x = 50, y = 70

  • 1 answers

Naveen Sharma 8 years, 9 months ago

Ans. A frequency is the number of times a data value occurs. For example, if ten students score 80 in statistics, then the score of 80 has a frequency of 10. Frequency is often represented by the letter f.

Cumulative frequency: it is used to determine the number of observations that lie below a particular value in a data set.

The cumulative frequency is calculated by adding each frequency from a frequency distribution table to the sum of its predecessors. the last value will always be equal to the total for all observations. Denoted by cf.

  • 1 answers

Shweta Gulati 8 years, 9 months ago

Factors of 18 are 1,2,3,6,9,18

Range = Maximum value - Minimum value

= 18-1 

= 17

  • 4 answers

Parth Muley 8 years, 9 months ago

 pie (R^2-r^2)h

Sejal Yadav 8 years, 9 months ago

πr2h

Niraj Agarwal 8 years, 9 months ago

πH(R^2-r^2)

Devanshu Jadhav 8 years, 9 months ago

2/3pie r2

 

  • 2 answers

Rashmi Bajpayee 8 years, 9 months ago

Putting x = 2 and y = 0 in the given equation,

2 x 2 + k x 0 = 10 × k

4 + 0 = 10k

10k = 4

k = 4/10 = 2/5

Niraj Agarwal 8 years, 9 months ago

Is ans 2\5

 

  • 1 answers

Sejal Yadav 8 years, 9 months ago

2 πr2

  • 1 answers

Naveen Sharma 8 years, 9 months ago

Ans. Let base of triangle = b

altitude of triangle (h) = 4cm

Area of triangle = 8 cm

We know

Area of triangle = {tex}{1\over2}\times b \times h{/tex}

=> {tex}8 = {1\over2}\times b \times 4{/tex}

=> b = 4cm

As triangle and ||gm have Same base,

So base of ||gm = 4cm

  • 1 answers

Rashmi Bajpayee 8 years, 9 months ago

Mean = Sum of observations / Total no. of observations

Sum of observations = 12 × 10 = 120

Now,. New Sum of observations = 120 + 10 × 3 = 150

New Mean = 150/10  = 15

  • 1 answers

Naveen Sharma 8 years, 9 months ago

Ans. Because sum of all angles of a triangle is 180. It is not possible to have one right angle and obtuse angle in same triangle as right angle is 90 and obtuse is any angle greater than 90., so their sum ll be more than 180 that is not.possible in case of triangle.

  • 6 answers

Parth Muley 8 years, 9 months ago

2pie (R+r)(h+R-r)

Jd Shukla 8 years, 9 months ago

I mean  2pi(R2-r2)

Jd Shukla 8 years, 9 months ago

In place of +there is - sign.

Jd Shukla 8 years, 9 months ago

Let a cylinder be with height h ,its inner and outer radii be r andR respectively. 

Now,its TSA=2pirh +2piRh+2pi(R2+r2)

Rashmi Bajpayee 8 years, 9 months ago

TSA of hollow cylinder 

= 2πRh + 2πrh + 2(πR2 - πr2)

= 2π[Rh + rh + (R + r)(R - r)]

= 2π[h(R + r) + (R + r)(R - r)]

= 2π(R + r)(h + R + r)

Naveen Sharma 8 years, 9 months ago

Ans. T.S.A of hollow cylinder = {tex}2\pi h(R+r){/tex}

Where R is outer radius and r is inner radius of hollow cylinder.

  • 1 answers

Manish Gandhi 8 years, 9 months ago

TSA for Cuboid = 2 (lb + bh + lh) = 800m square (given)

LSA for Cuboid = 2 (lh + bh) = 300m square (given)

Now, TSA - LSA = 2 (lb + bh + lh) - 2 (lh + bh) = 2lb

Also, TSA - LSA = 800 - 300 = 500m square

=> 2lb = 500 => lb = 500/2 = 250m square (Answer)

 

  • 1 answers

Jheel Porwal 8 years, 9 months ago

OB=OC(radii)

Let ang.OBC=ang.OCB=x

In triangle BOC

Ang.OBC + ang. OCB + BOC= 180

x + x +ang.BOC=180

Ang.BOC= 180 - 2x        ........  eq. 1

Ang.BOC=2 Ang.BAC  [arc BC subtended ang.BOC at the centre & ang.BAC in segment]

Using eq. 1

2 ang.BAC= 180 - 2x       (divide by 2 to 

                                            Both sides)

2ang.BAC           =    180    -     2x

<hr />

2                                  2              2

Ang.BAC = 90 - x

Ang.BAC = 90 - ang. OBC

Ang.OBC + ang.BAC = 90 degrees.

                   Hence proved!

  • 1 answers

Shally Sunekha 8 years, 9 months ago

The median will be n=10 and half of 10 ...5

Answer is 5

  • 1 answers

Naveen Sharma 8 years, 9 months ago

Ans. Let the smallest angle = x

Then another angle = 2x-30

As opposite angles are equal,

Then

=> x +x+2x-30+2x-30 = 360

=> 6x = 420

=> x = 70

So Angles of ||gm are 70,110,70,110

  • 1 answers

Shweta Gulati 8 years, 9 months ago


Radius of the frame (r) = 20/2 cm = 10 cm
Height of the frame (h) = 30 cm + 2×2.5 cm = 35 cm
2.5 cm of margin will be added both side in the height.
Cloth required for covering the lampshade = curved surface area = 2πrh
                                                  = (2 × 22/7 × 10 × 35)cm2
                                                  = 2200 cm2

 

  • 1 answers

Sakshi Singh 8 years, 9 months ago

You r given with the radius as 10 cm 

For both parts  draw a rt. Angle triangle by joining centre in the circumference both the chords are meeting in both cases.

Now using the theorem that line from centre at 90 bisects the chord 

Then use Pythagoras theorem in both the cases

1) add the ans of both the chords

2) subtract ans of both the chords 

  • 1 answers

Rupender Singh 8 years, 9 months ago

Side of Cube = 21 cm = diameter of  sphere 

{tex}\therefore {/tex}  radius of sphere, r = {tex}\frac{21}{2}{/tex}cm

Volume of sphere = {tex}\frac{4}{3} \pi r^3{/tex}

                            = {tex}\frac{4}{3} × \frac{22}{7} × \frac{21}{2} × \frac{21}{2} × \frac{21}{2}{/tex}

                           = 4851 {tex}cm^3{/tex}

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