Question
A sphere is melted and recast into 8 smaller spheres of
equal size. If the radius of the original sphere is 12 cm, find the radius of each smaller sphere.Solution
Volume of the original sphere = (4/3)πR³ = (4/3)π(12³) = (4/3)π(1728) = 2304π. Volume of each smaller sphere = 2304π / 8 = 288π. Let the radius of each smaller sphere be r. Volume = (4/3)πr³. (4/3)πr³ = 288π. r³ = 288 × (3/4) = 216. r = ³√216 = 6 cm. Correct option: a
Sales = ₹200 lakhs, Variable cost = ₹120 lakhs, Fixed cost = ₹30 lakhs
Interest = ₹10 lakhs
Calculate (i) Operating Leverage and (...
A high Inventory Turnover Ratio indicates:
Which of the following is a useful liquidity metric for short-term creditors?
A firm evaluates two projects with identical expected cash flows, but Project A has higher variability. If the firm is risk-averse, what would be its de...
A firm uses 70% debt financing at 10% interest. Its ROE rises despite flat operating profits. What explains this phenomenon?
A firm’s gross profit is ₹50 lakh, sales are ₹2 crore. What is its gross profit margin?
A company refinances a short-term loan (due in 4 months) after the balance sheet date but before the financial statements are authorised. Management arg...
Which of the following formulae correctly calculates the Operating Profit Margin?
XYZ Ltd. is a medium-sized manufacturing company. Its summarized Balance Sheet and additional financial information for the year ended 31st March 2024 a...
While preparing cash flow statement, an entity (other than a financial institution) should disclose the dividends received from its investment in shares...
