Question

Here are the dimensions of the oven tray Lucy bakes the cakes on. ←700mm→↑600mm↓.A cake tin is 25cm in diameter. How many cake tins can Lucy fit on the oven tray at one time?

Answer 1

700*600=420,000
420,000/10=42,000
Diameter = 25
so radius = 12.5
Pi*12.5^2=625/4Pi
42,000/625/4 Pi =86.56169741
=86.6
she can fit 86 tins

Answer 2

8

Explanation:

Dimension of the oven = 700 mm × 600 mm

First we change mm to cm

As we know 10 mm = 1 cm

So, 700 mm = 70 cm and 600 mm = 60 cm

Area of base of the oven = 60 × 70

= 4200 cm²

A cake whose base is circular in 25 cm diameter.

Radius is half of diameter, r=12.5 cm

So, Area of the base of tin cake = πr²

= π×12.5²

≈ 490.87 cm²

Number of cake fit on the oven tray
`=\frac{\text{Area of oven}}{\text{Base area of cake}}`

`=(4200)/(490.87)`

`\approx 8.55`

Hence, exactly 8 cakes fit on the oven tray at one time.