Question

A hemispherical tea cup has radius 4.2 cm. Find the quantity of tea it can hold?

Answer 1

Step-by-step explanation:

Radius of hemisphere = Diameter 2

Diameter = 10.5 cm

10.5 2 = = 5.25 cm

Volume of the bowl = 2/3

ײ/² × 5.25 × 5.25 × 5.25 cm³ x x W|N

= 303.1875 cm³

1 1000 = 303.1875 x litre

= 0.3031875 litre

= 0.303 litre (approx.)

Rough

1 cm³= 1 millilitre

1 cm³ = 1ml

1 cm³ 1 1000 litre

Hence, the hemispherical bowl can hold 0.303 litre (approx.)

Answer 2

Answer:

155.232 cm³ or 155.232 mL

Step-by-step explanation:

$Vol(Sphere) = \frac{4}{3} \pi r^3\\\\Vol(Hemisphere) =( \frac{1}{2} )(\frac{4}{3}\pi r^3)\\\\= \frac{2}{3} \pi r^3\\\\= \frac{2}{3}\pi(4.2)(4.2)(4.2)\\\\= (\frac{2}{3} )(\frac{22}{7} )(4.2)(4.2)(4.2)\\\\= 155.232 cm^3\\or 155.232 mL---(1cm^3 = 1mL)$