kery is an establishment that produces and sells flour-based food baked in
an oven suchas bread, cookies, cakes, pastries, and pies. Some retail bakeries
are also categorized as cafés,serving coffee and tea to customers who wish to
consume the baked goods on the premisesTania runs a bakery shop and her bakery is very famous for her tasty biscuits.
The amount of mixture required to make one biscuit is 18 cu cm. Before it is
cooked, the mixture is rolled into a sphere. After the biscuit is cooked, the
biscuit becomes a cylinder of radius 3 cm and height 0.7 cm ( The increase in
volume is due to air being trapped in the biscuit) Biscuits are packed in a
cylindrical card box of height 14 cm. The arrangement of biscuits is shown
below
On the basis of the above information, answer any four of the following
questions:
(i) What is the volume of the biscuits after it is cooked ?
(a) 17.8 cu cm (b) 18.7 cu cm
(c) 19.8 cu cm (d) 21.2 cu cm
(ii) What is the volume of air trapped, while cooking the biscuit ?
(a) 1.8 cu cm (b) 0.7 cu cm
(c) 1.5 cu cm (d) 3.2 cu cm
(iii) How many biscuits will be there in a box ?
(a) 120 (b) 70
(c) 140 (d) 60
Answers
Answer:
(i) What is the volume of the biscuits after it is cooked ?
=>18.7
(ii) What is the volume of air trapped, while cooking the biscuit ?
=>1.8
Given : The amount of mixture required to make one biscuit is 18 cu cm
After the biscuit is cooked, the biscuit becomes a cylinder of radius 3 cm and height 0.7 cm ( The increase in volume is due to air being trapped in the biscuit)
Biscuits are packed in the cross-section of the box is a regular hexagon, containing 7 biscuits, arranged and box of height 14 cm
To Find : i) What is the volume of the biscuits after it is cooked ?
(a) 17.8 cu cm (b) 18.7 cu cm (c) 19.8 cu cm (d) 21.2 cu cm
(ii) What is the volume of air trapped, while cooking the biscuit ?
(a) 1.8 cu cm (b) 0.7 cu cm (c) 1.5 cu cm (d) 3.2 cu cm
(iii) How many biscuits will be there in a box ?
(a) 120 (b) 70 (c) 140 (d) 60
Solution:
volume of the biscuits after it is cooked = Volume of cylinder
= πr²h
= (3.14)(3)²(0.7)
= 19.8 cu cm
What is the volume of air trapped, while cooking the biscuit
= 19.8 - 18
= 1.8 cu cm
Number of biscuits = 7 x (14/0.7)
= 140
140 biscuits will be there in a box
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