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  • 1 answers

Gaurav Seth 6 years ago

Given :  

Radius of the right circular cylinder, r = 7 cm

Height of the right circular cylinder = 14 cm

Largest sphere is curved out from the cylinder.

Radius of the sphere =  Radius of the right circular cylinder, r = 7 cm

Volume of the sphere = 4/3 ×  πr³
= 4/3 × 22/7 × 7³

= 4/3 × 22/7 × 7 × 7 × 7

= ( 88 × 49)/3

= 4312/3

= 1437.33 cm³

Hence, Volume of the sphere is 1437.33 cm³

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Aadya Singh ? 6 years ago

So, the value of tan^2 + cot^2 = 47.

Aadya Singh ? 6 years ago

Tan A + cot A = 7 => (tan A + cotA)^2 = 49 (squaring on both sides) => tan^2A + cot^2A + 2(tanA × cotA) = 49........(1) . Now, as we know that, tanA× cotA= 1 . So, put the value of tanA × cotA in (1), we get, tan^2A + cot^2A + 2 = 49 => tan^2A + cot^2A = 47.

Sahil ???? 6 years ago

47
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Gaurav Seth 6 years ago

First saving = 100
second saving =120
third saving = 140
clearly this is an A.P. series with a=100,
d=20
we are to finf the sum of 12 terms of this series
so,
sum =( n/2)*(2*a+(n-1)*d)
sum=(12/2)*(2*100+(12-1)*20)
sum=6*(200+11*20)
sum=6*(200+220)
sum=6*420
sum=2520
so she would be able to save Rs. 2520 in 12 months and therefore will be able to send her daughter to school

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Aditi .D 6 years ago

ABC is a triangle right angled at B, and D and E are points of trisection of BC. Let BD = DE = EC = x Then BE = 2x and BC = 3x In Δ ABD, AD² = AB² + BD² AD² = AB² + x² In Δ ABE, AE² = AB² + BE² AE² = AB² + (2x)² AE² = AB² + 4x² In Δ ABC, AC² = AB² + BC²   AC² = AB + (3x)² AC² = AB² + 9x² Now, 3AC² + 5AD² = 3(AB² + 9x²) + 5(AB² + x²)  8AB² + 32x² 8(AB² + 4x²) = 8AE² ⇒ 8AE² = 3AC² + 5AD² Hence proved.
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Aditi .D 6 years ago

let the no. be  x and x+1   then we have x²+(x+1)²=365                      2x²+2x-364=0                      x²+x-182=0                      x²+14x-13x-182=0                      (x+14)(x-13)=0                  That gives x=13 Avoiding negative value                  one number is 13 and other one 14.
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Aditi .D 6 years ago

First solve all the ncert qurstion and when u think that particular chapter' s all the textual question are done the go only go for gides and value based question after that u can set timer and solve question so it will be easy to complete the paper and perfectly

Payal.. ??Singh 6 years ago

Only ek hi step hhh practice pratice pratice.... Mera bi yhi haal tha but maths ko apni life ka part banao iski practice krna skip n kro.. Hmesha 2hours do uss... Your maths will be perfect...
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Alex M 6 years ago

The required number divideds 70 - 5 =65 and 125 - 8 = 117. Hence, Required number is the H.C.F of (65 and 117 ). 65 = 5 × 13 117= 3 × 3 × 13 H.C.F = 13 Therefore, The largest number which divideds 70 and 125 is 13

Jayveer Rangi 6 years ago

1750
1
13
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Shubham Kumar 6 years ago

Number of events/total number of outcomes
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SinA + sin (sq) A =1 SinA =1- sin(sq)A _(1) By identity Sin(sq)A+cos(sq) A =1 1-sin(sq) A =cos(sq)A On putting this value in _(1) Sin A=cos(sq)A On squaring Sin(sq) A= cos (raised to4) A _(2) We have to find Cos(sq) A + sin (sq) A from _(2) =1 by identity
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Mudit Anant 6 years ago

SinQ/CosQ=sinQ/1/sinQ=1

Mudit Anant 6 years ago

Tan Q=sinQ\cosQ
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Yogita Ingle 6 years ago

We will take simple interest given that the type of accumulation is not specified.

The period for the two investments is 1 year.

Let us take A:

i = 8%

let amount be x.

Simple interest = Principle × rate/100  time

Interest = 0.08 × 1 × x = 0.08x

Lets take B:

let Principle of B be y.

Interest = 0.09y

The equation is :

0.08x + 0.09y = 1860

If we interchange we will have :

0.09x + 0.08y = (1860 + 20)

0.09x + 0.08y = 1880

Solving for x and y simultaneously:

0.08x + 0.09y = 1860...............1)

0.09x + 0.08y = 1880................2)

Multiply 1 by 9 and 2 by 8 to eliminate x.

0.72x + 0.81y = 16740

0.72x + 0.64y = 15040

Subtraction:

0.17y = 1700

y = 10000

Doing the substitution:

0.08x + 0.09(10000) = 1860

0.08x = 1860 - 900

0.08x = 960

x = 960/0.08

x = 12000

The amounts are :
10000 in A and 12000 in B

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