Question

A cone of height 24 cm has a plane base of surface area 154 cmcube. Find its volume

Answer 1

Height of the cone (h) = 24cm

Surface area of base = 154 cm =
$\pi \: r {}^{2}$
that is,
$\pi \: r {}^{2} = 154 \\ \frac{22}{7} \times r {}^{2} = 154 \\ r { }^{2} = 154 \times \ \frac{7}{22} \\ r { }^{2} = 7 \times 7 \\ r = 7cm$

Volume of cone is
$\frac{1}{3} \pi \: r {}^{2}h$
that is,

$= \frac{1}{3} \times \frac{22}{7} \times 7 {}^{2} \times 24$
$= 22 \times 7 \times 8 \\ = 1232cm {}^{2}$

Answer 2

Answer:

Step-by-step explanation: