MATHEMATICS

JAMB 2007 - Question 42

Mathematics 2007 JAMB Past Questions - Question 42: The volume of a hemisphere bowl is 718 ⅔ cm³ find the Radius.

The volume of a hemisphere bowl is 718 ⅔ cm³ find the Radius. <π= 22/7>
A:
B:
C:
D:
Examkits App

Examkit's JAMB CBT App

Practice JAMB offline with our Online, PC and Mobile App

  • ✅ 25+ years of past questions (2000 to 2025)
  • ✅ Video solutions and explanation to questions
  • ✅ E-library
  • ✅ Study by topic
  • ✅ And more.

Correct Answer

C

Explanation

volume of a hemisphere bowl = ⅔ πr³ = 718 ⅔ → r³ = 2156/3 X 3/2 X 7/2 = 539X 7 /11 = 343 i.e r = 3 √343 = 7cm To find the radius of the hemisphere bowl, we can use the formula for the volume of a hemisphere:V = (2/3)πr³Given that the volume of the hemisphere bowl is 718 ⅔ cm³, we can substitute this value into the formula:718 ⅔ = (2/3)(22/7)r³To simplify the equation, we can convert the mixed fraction 718 ⅔ to an improper fraction:718 ⅔ = (3 * 718 + 2) / 3 = 2156/3Substituting this value into the equation:2156/3 = (2/3)(22/7)r³To solve for r³, we can multiply both sides by (3/2)(7/22):r³ = (2156/3) * (3/2) * (7/22)Simplifying:r³ = 308Taking the cube root of both sides:r = ∛308Using a calculator, we find that the cube root of 308 is approximately 6.83.Therefore, the radius of the hemisphere bowl is approximately 6.83 cm.

Frequently Asked Questions

Examkits is a JAMB CBT practice platform that provides over 20 years of past questions, Post UTME questions, and detailed video solutions to help students prepare for their exams.

You can practice JAMB past questions online, on Android, or on a desktop using the Examkits app. Just register on our website and choose your preferred device.

Yes. Our Android and Windows versions support offline usage. Once downloaded and activated, no internet is required to use most of the features.

Yes, Examkits provides detailed video explanations for all JAMB past questions from 2000 to 2024, helping students understand how to solve each problem.

Examkits offers free practice for some subjects. However, full access requires a one-time affordable activation fee for each version of the app.