Question

A drinking trough for cattle is in the shape of a half cylinder with a diameter of 60cm, and has length 3m.
a) Find the capacity of the drinking trough. Give your answer in cubic centimetres

Answer 1

Step-by-step explanation:

given :

the diameter = 60 cm => the radius =

60/2 = 30cm

the length = 3m = 300 cm

solution:

The capacity of the drinking trough =

½× 3.14 × 30² × 300 =

3.14 × 135,000 =

423,900 cm³

Answer 2

Answer:

423,900 cm³

Step-by-step explanation:

diameter = 60 cm

radius = ⁶⁰/₂ cm = 30 cm

length = 3 m = 3 × 100 cm = 300 cm

┈

$\frac{1}{2} \times 3.14 \times 30^2 \times 300$

$= 3.14 \times 900 \times 150$

$= 3.14 \times 135,000$

$= \bold{423,900 \: cm^3}$