Question

Help please!!!! I am struggling

Answer 1

V = 96π cm³

Explanation:

The formula of a volume of a cone:

`V=(1)/(3)\pi r^2H`

We have r = 6cm and l = 10cm.

Use the Pythagorean theorem to calculate the height H:

`H^2+r^2=l^2`

Substitute:

`H^2+6^2=10^2`

`H^2+36=100` subtract 36 from both sides

`H^2=64\to H=√(64)\\\\H=8\ cm`

Calculate the volume:

`V=(1)/(3)\pi(6^2)(8)=(1)/(3)\pi(36)(8)=\pi(12)(8)=96\pi\ cm^3`

Answer 2

301.592894745

Explanation:

Volume of a cone = π×r²×(h/3)

r = radius

h = height

Using Pythagoras, we can work out the height ( we are given the slant height not the height ) .

√10²-6² = √100-36 = √64 = 8

Height = 8 cm

So now we substitute into the formula

π×6²×(8/3)

π×36×8/3 = 301.592894745