A wedge of cheese in the shape of a prism is cut from a cylinder of cheese of height ho
The radius of the cylinder, OA, is 8 cm and the angle AOB = 42°.
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(a)
(i) The volume of the wedge of cheese is 90 cm'.
Show that the value of h is 3.84 cm correct to 2 decimal places.
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A piece of cheese is cut in the shape of the sector of a circle of radius 6 cm. The thickness of the cheese is 7 cm, then find the curved surface area of the cheese.
(a). 44cm2
(b). 40cm2
(c). 42cm2
(d). 45cm2
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Hint: If we observe the piece of cheese carefully, we can see that it appears like a sector which is cut from a complete cylinder. We will find the curved surface area of the cheese using the formula, CSA=θ360×2πr
It is given in the question that a cheese is cut in the shape of a sector of a circle of radius 6 cm and thickness 7 cm. We are asked to find the curved surface area of that cheese.
Now, if we observe the cut portion, then it looks like a sector cut from a complete cylinder. We can say that it is a cut piece of a cylinder having a sector of 60˚. Now, we know that the curved surface area of a cylinder is given by the formula, CSA=2πrh. So, by using this formula, we can say that the curved surface area of the cheese is given by the formula, CSA=θ360×2πrh where, θ=60∘, π=227, r = 6 cm and h = 7 cm. On substituting all these values in the formula, we get,
Curved surface area of the cheese = 60360×2×227×6×7
=16×447×42=44cm2
Therefore, we get the curved surface area of the cheese as 44cm2.
Thus, option (a) is the correct answer.
Answer:
A piece of cheese is cut in the shape of the sector of a circle of radius 6 cm. The thickness of the cheese is 7 cm, then find the curved surface area of the cheese.
(a). 44cm2
(b). 40cm2
(c). 42cm2
(d). 45cm2
It is given in the question that a cheese is cut in the shape of a sector of a circle of radius 6 cm and thickness 7 cm. We are asked to find the curved surface area of that cheese.
Now, if we observe the cut portion, then it looks like a sector cut from a complete cylinder. We can say that it is a cut piece of a cylinder having a sector of 60˚. Now, we know that the curved surface area of a cylinder is given by the formula, CSA=2πrh. So, by using this formula, we can say that the curved surface area of the cheese is given by the formula, CSA=θ360×2πrh where, θ=60∘, π=227, r = 6 cm and h = 7 cm. On substituting all these values in the formula, we get,
Curved surface area of the cheese = 60360×2×227×6×7
=16×447×42=44cm2
Therefore, we get the curved surface area of the cheese as 44cm2.
Thus, option (a) is the correct answer.
And there should not be any hint because we all can do any questions without hint if we understand it properly