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16. Questions based on Higher Order Thinking skills

There are three spheres

$A$ ,

$B$ ,

$C$ as shown below:

YCIND22052022_3765_Measurements (TN 7th Corrections)_16.png

Three spheres

Sphere

$A$ and

$B$ are made of the same material. Sphere

$C$ is made of a different material. Spheres

$A$ and

$C$ have equal radii. The radius of sphere

$B$ is half that of

$A$ . Density of

$A$ is double that of

$C$ .

Now answer the following questions:

i. Find the ratio of masses of spheres

$A$ and

$B$ .

Let the mass of spheres

$A$ and

$B$ be

$M_A$ and

$M_B$ , respectively.

Let the volume of spheres

$A$ and

$B$ be

$V_A$ and

$V_B$ , respectively.

Let the ratio of masses of spheres

$A$ and

$B$ be

$M_A$ :

$M_B$ .

Density is denoted as

$D$ .

$\begin{array}{l} Mass = i \times i \\ i \times i_{i} : i \times i_{i} \end{array}$

$\begin{array}{l} Volumes of sphere A = \frac{i}{i} π i^{i} \\ Volumes of sphere B = \frac{i}{i} π {(\frac{i_{i}}{i})}^{i} \end{array}$

The ratio of sphere is given as .

ii. Find the ratio of volumes of spheres

$A$ and

$B$ .

Since mass is to volume, the ratio of volumes of spheres

$A$ and

$B$ is .

iii. Find the ratio of masses of spheres

$A$ and

$C$ .

The ratio of masses of spheres

$A$ and

$C$ is given as . Therefore, the density of

$A$ is double that of

$C$ .

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16. Questions based on Higher Order Thinking skills

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