Question

Help please!!!! I am struggling

Answer 1

Answer:

301.592894745

Step-by-step 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

Answer 2

Answer:

V = 96π cm³

Step-by-step explanation:

The formula of a volume of a cone:

$V=\dfrac{1}{3}\pi r^2H$

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

$H^2=64\to H=\sqrt{64}\\\\H=8\ cm$

Calculate the volume:

$V=\dfrac{1}{3}\pi(6^2)(8)=\dfrac{1}{3}\pi(36)(8)=\pi(12)(8)=96\pi\ cm^3$