Maths-
General
Easy
Question
A hemispherical tank is made up of an iron sheet 1 cm thick. If the inner radius is 1m , then find the volume of the iron used to make the tank ?
Hint:
The volume of hemisphere is .
The correct answer is: 0.06348m3
Explanation:
- We have given a hemisphere with thickness 1cm.
- We have to find the volume of iron used to make the tank.
Step 1 of 1:
Since the hemispherical tank is made of 1cm thick iron, we can find the outer radius of the tank by adding thickness to the inner radius.
The Volume of hemisphere of base radius r is equal to
The inner radius of the tank r = 1m
Thickness of iron = 1cm = 1/100 m =0.01m
Outer radius of the tank, R = 1m + 0.01m = 1.01m
The volume of the iron used to make the tank can be calculated by subtracting the volume of the tank with inner radius from the volume of the tank with outer radius.
Volume of the iron used to make the tank
0.06348 m3 of iron used to make the tank
0.06348 m3 of iron used to make the tank
Related Questions to study
Maths-
How many litres of milk can a hemispherical bowl of diameter 10.5 cm hold?
How many litres of milk can a hemispherical bowl of diameter 10.5 cm hold?
Maths-General
Maths-
of an isosceles triangle ABC is acute in which and . Prove that
of an isosceles triangle ABC is acute in which and . Prove that
Maths-General
Maths-
The Diameter of the moon is approximately one fourth of the diameter of the earth. What fraction of the volume of the earth is the volume of the moon?
The Diameter of the moon is approximately one fourth of the diameter of the earth. What fraction of the volume of the earth is the volume of the moon?
Maths-General
Maths-
The diameter of a metallic ball is 4.2 cm. What is the mass of the ball , if the density of the metal is 8.9 g per cubic cm ?
The diameter of a metallic ball is 4.2 cm. What is the mass of the ball , if the density of the metal is 8.9 g per cubic cm ?
Maths-General
Maths-
Find the amount of water displaced by a solid spherical ball of diameter 0.21m
Find the amount of water displaced by a solid spherical ball of diameter 0.21m
Maths-General
Maths-
Write truth table for the converse of p → q.
Write truth table for the converse of p → q.
Maths-General
Maths-
Find the volume of a sphere whose radius is 0.63 m
Find the volume of a sphere whose radius is 0.63 m
Maths-General
Maths-
Make a valid conclusion in the situation.
If two points lie in a plane, then the line containing them lies in the plane.
Points A and B lie in plane PQR.
Make a valid conclusion in the situation.
If two points lie in a plane, then the line containing them lies in the plane.
Points A and B lie in plane PQR.
Maths-General
Maths-
The conditional p → q is only false when
a. p = T, q = T
b. p = T, q = F
c. p = F, q = F
d. p = F, q = T
The conditional p → q is only false when
a. p = T, q = T
b. p = T, q = F
c. p = F, q = F
d. p = F, q = T
Maths-General
Maths-
Use p and q to write the symbolic statement in words.
p: Roses are red.
q: Roses are beautiful.
I) p → q
II) ~q
III) ~q → ~p
Use p and q to write the symbolic statement in words.
p: Roses are red.
q: Roses are beautiful.
I) p → q
II) ~q
III) ~q → ~p
Maths-General
Maths-
Make a valid conclusion in the situation.
If cost price > selling price, then the transaction suffers loss.
Cost price = $255 and selling price = $230.
Make a valid conclusion in the situation.
If cost price > selling price, then the transaction suffers loss.
Cost price = $255 and selling price = $230.
Maths-General
Maths-
Make a valid conclusion in the situation.
If cost price < selling price, then the transaction makes profit.
Cost price = $100 and selling price = $150.
Make a valid conclusion in the situation.
If cost price < selling price, then the transaction makes profit.
Cost price = $100 and selling price = $150.
Maths-General
Maths-
Make a valid conclusion in the situation.
If you have more than $1000, then you can buy a music system.
You have $1200.
Make a valid conclusion in the situation.
If you have more than $1000, then you can buy a music system.
You have $1200.
Maths-General
Maths-
Make a valid conclusion in the situation.
If 𝑛 < 5, then (−𝑛) > (−5).
The value of 𝑛 is 3.
Make a valid conclusion in the situation.
If 𝑛 < 5, then (−𝑛) > (−5).
The value of 𝑛 is 3.
Maths-General
Maths-
Determine if the given conjecture is true or not. Give a counterexample if it is false. Given: ∠𝑃 𝑎𝑛𝑑 ∠𝑄 are complementary. ∠𝑄 𝑎𝑛𝑑 ∠𝑅 are complementary. Conjecture: ∠𝑃 ≅ ∠R
Determine if the given conjecture is true or not. Give a counterexample if it is false. Given: ∠𝑃 𝑎𝑛𝑑 ∠𝑄 are complementary. ∠𝑄 𝑎𝑛𝑑 ∠𝑅 are complementary. Conjecture: ∠𝑃 ≅ ∠R
Maths-General