Let r = Radius of cylinder = Radius of sphere, h = Height of the cylinder.
According to the question.
4/3πr³ = πr²h

Correct Option: D

Let r = Radius of cylinder = Radius of sphere, h = Height of the cylinder.
According to the question.
4/3πr³ = πr²h
⇒ h = 4r/3
⇒ 4r = 3h
⇒ 2r = 3/2h
⇒ 2r/h = 3/2
∴ Required ration = 3 : 2

Given, 4πr² = 2πrh
∴ h = 2r
Now, required ratio
= 4/3πr³ : πr²h

Correct Option: B

Given, 4πr² = 2πrh
∴ h = 2r
Now, required ratio
= 4/3πr³ : πr²h
= 4r : 3h
= 4r : 6r [ ∴ h = 2r]
= 2 : 3

Volume of the cuboid = 9 x 8 x 6 = 432 cm³
Volume of the cube = 1/2 x 432 = 216 cm³
∴ Each side of cube = ∛216 = 6 cm
Total surface area of the cube = 6 x (Side)²

Correct Option: B

Volume of the cuboid = 9 x 8 x 6 = 432 cm³
Volume of the cube = 1/2 x 432 = 216 cm³
∴ Each side of cube = ∛216 = 6 cm
Total surface area of the cube = 6 x (Side)² = 6 x 6²
= 6 x 36 = 216 sq cm

Given, l = Length of the cuboid = 5 x 7 = 35 cm
h = Breadth of the cuboid = 5 cm
h = Height of the cuboid = 5 cm
∴ Surface area = 2(lb + bh + lh)

Correct Option: A

Given, l = Length of the cuboid = 5 x 7 = 35 cm
h = Breadth of the cuboid = 5 cm
h = Height of the cuboid = 5 cm
∴ Surface area = 2(lb + bh + lh) = 2[35 x 5 + 5 x 5 + 35 x 5]
= 2[175 + 25 + 175]
= 2 x 375 = 750 sq cm

1 hec = 10000 m³
Volume of water = Base area x Height

Correct Option: C

1 hec = 10000 m³
Volume of water = Base area x Height
= (10000 x 10)/100 = 1000 m³