Question

Write all formula of the following shapes
1. Cone
2. Cylinder
3. Cuboid
4. Hemisphere
5. Sphere
6. Cube

Answer 1

Required Answer :-

1. Cone

$\sf \implies Volume_{(cone)} = \dfrac{1}{3}\pi r^2h$

$\sf \implies TSA_{(cone)}=\pi rl + \pi r^2$

$\sf \implies CSA{(cone)} = \pi rl$

$\sf \implies Slant \;height=\sqrt{(r^2+h^2)}$

2. Cylinder

$\sf \implies Volume_{(cylinder)} = \pi r^2h$

$\sf \implies TSA_{(cylinder)} = 2\pi r (h + r)$

$\sf \implies CSA_{(cylinder)} = 2\pi rh$

3. Cuboid

$\sf \implies Volume_{(cuboid)}=l\times b\times h$

$\sf \implies TSA_{(cuboid)} = 2(lb + bh + lh)$

$\sf \implies LSA_{(cuboid)} = 2(l+b)h$

4. Hemisphere

$\sf \implies Volume_{(hemisphere)}=\dfrac{2}{3} \pi r^3$

$\sf \implies TSA_{(hemisphere)} = 3\pi r^2$

$\sf \implies CSA_{(hemisphere)} = 2\pi r^2$

5. Sphere

$\sf \implies Volume_{(sphere)} = \dfrac{4}{3}\pi r^3$

$\sf \implies TSA_{(sphere)} = 4\pi r^2$

6. Cube

$\sf \implies Volume_{(cube)} = a^3$

$\sf \implies TSA_{(cube)} = 6a^2$

$\sf \implies CSA_{(cube)} = 4a^2$

Answer 2

Cone:-

=C.S.A=πrl

T.S.A=πr(r+l)

Volume=1/3πr^2h

Cylinder:-

=C.S.A=2πr(r+h)

T.S.A=2πr(r+h)

Volume=πr^2h

Cuboid:-

=L.S.A=2h(l+b)

T.S.A=2(lb+bh+hl)

Volume=l×b×h

Hemisphere:-

=C.S.A=2πr^2

T.S.A=3πr^2

Volume=2/3πr^3

Sphere:-

=Surface area=4πr^2

Volume=4/3πr^3

Cube:-

=L.S.A=4a^2

T.S.A=6a^2

Volume=a^3

Step-by-step explanation: