Question

A hemisphere has a volume of
6.174t cm3. What is its radius?

Answer 1

Answer: The volume of the Hemisphere can be calculated by the formula
`((2)/(3))\pi r^(3)`cubic units

where r is the radius of the hemisphere.

Let, V is the volume of the hemisphere then, V=6.174
`cm^(3)`

Step-by-step explanation:

1. To calculate the radius we can rearrange this formula

⇒ V=
`((2)/(3))\pi r^(3)`

⇒
`r = \sqrt[3]{(3)/(2) (V)/(\pi ) }`

putting the values:

V=6.174
`cm^(3)`

`\pi`=3.141

2.
`r = \sqrt[3]({(3)/(2))(6.174)/(\ 3.141) }`

3. after solving r=1.433 cm

Hence, the radius of the hemisphere is 1.433cm