<u>Answer:
</u>
1. The area of the triangle PQR is 40 cm^2.
2. 321.4 cubic cm
<u>Step-by-step explanation:
</u>
1. We are given two triangles, ABC and PQR, which are similar to each other.
Given that area of the triangle ABC is , we are to find the area of the triangle PQR.
For that, we can use the ratio method:
Area of triangle PQR =
2. We are given the diameter of a spherical model to be 8.5 cm so its radius will be 4.25 cm.
Finding the volume of the spherical model as we know that the volume of a sphere is given by:
Substituting the given value of radius in the formula to get:
Volume of spherical model = = 321.4 cubic cm