Question

the base of cone with radius 15 cm and slant height 25cm is hemispherical. find the volume of solid​

Answer 1

Answer:

4710cm3 using pi = 3.14

Step-by-step explanation:

Given: R = 15cm

l = 25cm

$l^{2}= {h^{2}+r ^{2}$

$25^{2} = h^{2}+15^{2}$

$h^{2}$= 625 - 225

$h^{2}$= 400

$h=\sqrt{400}$

h= 20cm

Volume of Cone= $\frac{1}{3} \pi r^{2}h$

V [Cone] =$\frac{1}{3}$×$\frac{22}{7}$×$15^{2}$×$20$

V [Cone] = $\frac{1}{3}$×$\frac{22}{7}$$15$×

V [Cone] = $\frac{22}{7}$×$5$×$15$×$20$

V [Cone] = $\frac{22}{7}$×$1500$

V [Cone] = $\frac{33000}{7}$

V [Cone] = $4714.28cm3$

The sum can also be done using Pi= 3.14

1/3 x 3.14 x 225 x 20

1/3 x 3.14 x 4500

3.14 x 1500

=> 4710cm3