Curved surface area = 2πr²

Correct Option: A

Curved surface area = 2πr²
= 2π x 14 x 14 = 2 x (22/7) x 14 x 14
= 2 x 22 x 2 x 14
= 88 x 14
= 1232 sq cm

Given,
Diameter = 2 cm
∴ r = 1 cm
Now, Total surface area of hemisphere = 3πr²
and curved surface area = 2πr²
Required difference = 3πr² - 2πr² = πr²

Correct Option: C

Given,
Diameter = 2 cm
∴ r = 1 cm
Now, Total surface area of hemisphere = 3πr²
and curved surface area = 2πr²
Required difference = 3πr² - 2πr² = πr²
= π x 1² = π sq cm

Volume of the prism = (Area of the base ) x (Height)
Volume of the pyramid = 1/3 (Area of the base ) x (Height)

Correct Option: C

Volume of the prism = (Area of the base ) x (Height)
Volume of the pyramid = 1/3 (Area of the base ) x (Height)
Required ratio = [A x H] / [(1/3) x A x H]
Therefore, Ratio of the volumes of the prism and the pyramid = 3 : 1.

Volume of prism = Area of base x Height
Weight of prism = volume x density

Correct Option: D

Volume of prism = Area of base x Height
= (1/2) x 10 x 12 x 20
= 1200 cm²

∴ Weight of prism = 1200 x 6
= 7200 g
= 7.2 kg

Let the sides of the base are 5k, 12k and 13k, respectively.
Given, perimeter of base = 60 cm
⇒ 5k + 12k + 13k = 60

Correct Option: A

Let the sides of the base are 5k, 12k and 13k, respectively.
Given, perimeter of base = 60 cm
⇒ 5k + 12k + 13k = 60
∴ k = 60/30 = 2
The sides of base are 10 cm, 24 cm 26 cm.
∴ Volume of prism = (1/2) x 10 x 24 x 50 = 6000 cm³