Find the total surface area of a solid hemisphere of diameter 14 cm. Option 1: 308 cm² Option 2: 462 cm² Option 3: 1232 cm² Option 4: 1848 cm²

Answer: 462 cm². Solution: Radius r = 14/2 = 7 cm. Total surface area of a solid hemisphere = 2 r^2 + r^2 = 3 r^2. = 3 x 22/7 x 49 = 462 cm². The value 308 cm² is only the curved surface area.

Geometry

Solids

Medium

Find the total surface area of a solid hemisphere of diameter 14 cm.

308 cm²

462 cm²

1232 cm²

1848 cm²

✅ Correct Option: 2

Radius $r = 14/2 = 7$ cm. Total surface area of a solid hemisphere $= 2\pi r^2 + \pi r^2 = 3\pi r^2$ .

$= 3 \times \dfrac{22}{7} \times 49 = 462$ cm². The value 308 cm² is only the curved surface area.

2026: 14 May Shift 1

If r represent the radius and h denotes the height of the solid. Then, Match List-I with List-II

LIST-I (Solid)	LIST-II (Volume)
A. Cylinder	I. $\dfrac{2}{3}\pi r^3$
B. Cone	II. $\dfrac{4}{3}\pi r^3$
C. Sphere	III. $\dfrac{1}{3}\pi r^2 h$
D. Hemisphere	IV. $\pi r^2 h$

Choose the correct answer from the options given below:

2026: 14 May Shift 1

A cone of the height 54 cm and radius of the base of 4 cm is made up of clay. Aditya reshapes it in the form of a sphere. The radius of the sphere will be

2026: 30 May Shift 1

A hemispherical bowl is 176 cm round the brim. Supposing it to be half full, how many peoples may be served from it in hemispherical glasses 4 cm in diameter at the top?

2026: 14 May Shift 2

Consider the surface area of the following solids.

A. A cube of edge 4 cm.

B. A cylinder with a diameter of base 14 cm and height 35 cm.

C. A hemisphere with 28 cm diameter.

D. A sphere with a radius of 7 cm.

Arrange the above in decreasing order and choose the correct answer from the options given below:

2025: 20 May Shift 1

The base radius of a cone is 21 cm and the height is 28cm, then which of the following is/are correct?

(A) Slant height = 35 cm

(B) Slant height = 33 cm

(D) Curved Surface Area = 2310 cm²

Choose the correct answer from the options given below:

2022: 8 Aug Shift 1

A volume of a wall is 128 cm $^3$ . If the height of the wall is 6 times its breadth and the length is 9 times its breadth, find the breadth.

Find the total surface area of a solid hemisphere of diameter 14 cm.

Solution

Related questions:

Keyboard Shortcuts

CUET General Test Past Year Questions (Topic-Wise)