List of top Mathematics Questions on Surface Area of a Sphere

The rate of change (in cm2/s) of the total surface area of a hemisphere with respect to the radius r at r = 3.

The rate of change of surface area of a sphere with respect to its radius \( r \), when \( r = 4 \, {cm} \), is:

The surface area (in \(m^2\)) of a sphere of radius 7 cm is :(Use \(\pi= \frac{22}{7}\))

The radius of a spherical balloon increases from 7 cm to 14 cm as air is being pumped into it. Find the ratio of surface areas of the balloon in the two cases.

Find the surface area of a sphere of radius: 
(i) 10.5 cm 
(ii) 5.6 cm
(iii) 14 cm

Find the surface area of a sphere of diameter:
(i) 14 cm
(ii) 21 cm
(iii) 3.5 m

Find the total surface area of a hemisphere of radius 10 cm. (Use \(\pi\) = 3.14)

A hemispherical bowl made of brass has inner diameter 10.5 cm. Find the cost of tin-plating it on the inside at the rate of ₹ 16 per 100 cm².

Find the radius of a sphere whose surface area is 154 cm²

The diameter of the moon is approximately one-fourth of the diameter of the earth. Find the ratio of their surface area.

A hemispherical bowl is made of steel, 0.25 cm thick. The inner radius of the bowl is 5 cm. Find the outer curved surface area of the bowl.

A right circular cylinder just encloses a sphere of radius r (see given figure). Find

(i) surface area of the sphere,
(ii) curved surface area of the cylinder,
(iii) ratio of the areas obtained in (i) and (ii).