Remoulding (Leaving Cert Mathematics): Quizzes

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Remoulding
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What is remoulding in geometry?

Reshaping a solid without changing volume

What remains constant when a solid is remoulded?

Volume

What is the volume conservation formula for remoulding?

Voriginal=VremouldedV_{\text{original}} = V_{\text{remoulded}}

What may change during remoulding?

Surface area and dimensions

What is the volume of a cylinder with r=5r = 5 cm and h=12h = 12 cm?

300π300\pi cm³

A cylinder (r=5r = 5 cm, h=12h = 12 cm) melts to form a sphere. Find rr of sphere.

Approx. 6.13 cm

What is the volume of a cube with side length 10 cm?

1000 cm³

A 10 cm cube remoulds to a cylinder (h=15h = 15 cm). Find cylinder radius.

Approx. 4.61 cm

What is the formula for the volume of a sphere?

43πr3\frac{4}{3}\pi r^3

What is the formula for the volume of a cylinder?

πr2h\pi r^2 h

Which is a common remoulding scenario?

Melting a solid to form another shape

What is needed to solve remoulding problems?

Specific volume formula for each shape

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