Question : The surface area of a sphere is 2464 cm². Find the radius of the sphere. [Use $\pi=\frac{22}{7}$ ]
Option 1: 14 cm
Option 2: 28 cm
Option 3: 42 cm
Option 4: 40 cm
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Correct Answer: 14 cm
Solution : According to the question Surface area of a sphere = 4πr2 ⇒ 2464 = 4 × $\frac{22}{7}$ × r2 ⇒ r2 = $\frac{2464 ×7}{4×22}$ = 196 ⇒ r = $\sqrt{196}$ = 14 Hence, the correct is 14 cm
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Question : The radius of a sphere is 14 cm. What is the surface area of this sphere? [Use $\pi=\frac{22}{7}$]
Option 1: 2464 cm2
Option 2: 1232 cm2
Option 3: 1848 cm2
Option 4: 616 cm2
Question : The curved surface area of a right circular cone is 44 cm². If the slant height of the cone is 7 cm, then find the radius of its base. [Use $\pi=\frac{22}{7}$ ]
Option 1: 2 cm
Option 2: 4 cm
Option 3: 3 cm
Option 4: 5 cm
Question : The area of a circle is 2464 cm2. What is the diameter of this circle? [Use $\pi=\frac{22}{7}$]
Option 1: 56 cm
Option 2: 24 cm
Option 3: 48 cm
Option 4: 28 cm
Question : The area of a circle is 1386 cm2. What is the radius of the circle? [Use $\pi=\frac{22}{7}$ ]
Option 1: 21 cm
Option 2: 7 cm
Option 3: 14 cm
Option 4: 18 cm
Question : Thrice the length of the diameter of a circle is 10 cm less than its circumference. What is the radius of the circle? [Use $\pi=\frac{22}{7}$]
Option 1: 28 cm
Option 2: 14 cm
Option 3: 70 cm
Option 4: 35 cm
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