1. in the figure below, abc ~ pqr.

in given figure, abc is 4 cm and pqr is 6 cm

if the area of abc is 40 cm2, what is the area of pqr? show your work.

2. a science museum has a spherical model of the earth with a diameter of 8.5 m. what is the volume of the model? use 3.14 for and round your answer to the nearest whole number. show your work.

(4 points: 1-work shown, 1-calculations, 1-area, 1-units)

1. The area of the triangle PQR is 40 cm^2.

2. 321.4 cubic cm

Step-by-step explanation:

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