Answer:
77 cubic inches
Step-by-step explanation:
Here is the complete question.
A solid metal prism has a rectangle base with sides of 4 inches and 6 inches and a height of 4 inches . A hole in the shape of a cylinder with a radius of 1 inch is drilled trough the entire length of the rectangular prism. What is the approximate volume of the remaining solid in cubic inches.
Solution
The volume of the solid prism is given by V = Area of base × height = lbh = 4 × 6 × 4 = 96 cubic inches.
The volume of the cylindrical hole is given by πr²h
r = 1 inch and h = 6 inches. So V = πr²h = π × 1² × 6 = 18.85 cubic inches.
The volume of the remaining solid = volume of solid prism - volume of cylindrical hole = (96 - 18.85) cubic inches = 77.15 cubic inches ≅ 77 cubic inches
Answer
Find out the how many notes of each denomination did she give .
To prove
Let us assume that x be the scalar multiplication of the Rs 50, Rs100,Rs500 curreny notes.
As given
Kamala gave Rs 1,50,000 to her friend.
She gave currency notes of denomination Rs. 50,Rs.100,Rs.500 in the ratio 4:3:5.
Rs50 currency note gave in the denomination = 4x
Rs100 currency note gave in the denomination = 3x
Rs500 currency note gave in the denomination = 5x
than the equation becomes
4x + 3x + 5x = 150000
12x = 150000
x = 12500
Thus
Rs50 currency note gave in the denomination = 4 × 12500
= 50000
Rs100 currency note gave in the denomination = 3 × 12500
= 37500
Rs500 currency note gave in the denomination = 5 × 12500
= 62500
Answer:
LCM = 30
Step-by-step explanation:
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