Question : What is the diameter (in cm) of a sphere with a surface area of 6.16 sq. cm?
Option 1: 1.4
Option 2: 0.7
Option 3: 2.8
Option 4: 2.1
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Correct Answer: 1.4
Solution : Let the radius be $r$. The total surface area of a sphere = $4\pi r^2$ ⇒ $6.16=4\pi r^2$ ⇒ $6.16=4×\frac{22}{7}×r^2$ ⇒ $r^2=\frac{49}{100}$ $\therefore r=0.7$ cm Diameter = $2×r=2×0.7=1.4$ cm Hence, the correct answer is 1.4.
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Question : The total surface area of a hemisphere is 41.58 sq. cm. Find its curved surface area.
Option 1: 27.72 sq. cm.
Option 2: 55.44 sq. cm.
Option 3: 9.24 sq. cm.
Option 4: 13.86 sq. cm.
Question : $\triangle$ABC is similar to $\triangle$DEF. If the area of $\triangle$ABC is 9 sq. cm and the area of $\triangle$DEF is 16 sq. cm and BC = 2.1 cm, then the length of EF will be:
Option 1: 5.6 cm
Option 2: 2.8 cm
Option 3: 3.7 cm
Option 4: 1.4 cm
Question : If the diameter of a sphere is 3.5 cm, then what is the total surface area of the sphere?
Option 1: 45.75 cm2
Option 2: 42.6 cm2
Option 3: 38.5 cm2
Option 4: 34.25 cm2
Question : A solid metallic sphere of radius 4 cm is melted and recast into spheres of 2 cm each. What is the ratio of the surface area of the original sphere to the sum of the surface areas of the spheres, so formed?
Option 1: 2 : 1
Option 2: 2 : 3
Option 3: 1 : 2
Option 4: 1 : 4
Question : The base of a prism is a right-angled triangle with two sides 5 cm and 12 cm. The height of the prism is 10 cm. The total surface area of the prism is:
Option 1: 360 sq cm
Option 2: 300 sq cm
Option 3: 330 sq cm
Option 4: 325 sq cm
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