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Ask QuestionPosted by Sahil Singh 6 years ago
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Posted by Ganga Sharma 6 years ago
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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
Posted by Ashna Ansari 6 years ago
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Aadya Singh ? 6 years ago
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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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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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