The heights of two cones are in the ratio 4 : 3 and the radii of their bases are in the ratio 1 : 2. Find the ratio of their volumes.
The heights of two cones are in the ratio 4 : 3 and the radii of their bases are in the ratio 1 : 2. Find the ratio of their volumes.
दो शंकुओं की ऊँचाइयाँ का अनुपात 4 : 3 हैं तथा उनके आधारों के त्रिज्याओं का अनुपात 1 : 2 में हैं। उनके आयतनों का अनुपात ज्ञात कीजिए।
Detailed Solution & Logic
Correct Answer:
1 : 3
Cone का volume होता है:
$V = \frac{1}{3}\pi r^2 h$
दिया है:
Heights ratio = $4:3$
Radii ratio = $1:2$
अब volume ratio:
$V_1:V_2 = r_1^2h_1 : r_2^2h_2$
$= (1^2 \times 4) : (2^2 \times 3)$
$= 4 : 12$
$= 1 : 3$
Correct Answer: 1 : 3
Similar Practice Questions
In a park there are rabbits and pigeons in the ratio 4 : 9.
In a park there are rabbits and pigeons in the ratio 4 : 9. If...
If ₹2,239 is divided among 269
If ₹2,239 is divided among 269 children such that each girl and each boy get...
In what ratio should sugar costing ₹38 per kg be mixed with sugar costing ₹55 per kg so that by selling the mixture at ₹57.20 per kg, there is a profit of 10%?
In what ratio should sugar costing ₹38 per kg be mixed with sugar costing ₹55...
The ratio of the present age of A and B is 3 : 1.
The ratio of the present age of A and B is 3 : 1. Five...
In what ratio should sugar costing ₹36 per kg be mixed with sugar costing ₹13 per kg so that selling the mixture at ₹15.4 per kg gives a profit of 10%?
In what ratio should sugar costing ₹36 per kg be mixed with sugar costing ₹13...
The monthly incomes of two friends, Chetan and Vipul, are in the ratio 5:7, and each of them saves ₹96,000 per month. If the ratio of their monthly expenditures is 2:4, find Chetan’s monthly income (in ₹).
The monthly incomes of two friends, Chetan and Vipul, are in the ratio 5:7, and...
If 25% of (p + Q) = 75% of (p — Q), then find the ratio p: Q.
If 25% of (p + Q) = 75% of (p — Q), then find the...