📐 geometry

1. The problem asks to find the measures of angles ABF, ABD, EBC, FBC, and DBG given the angles 110\degree, 65\degree, and 20\degree around point B where lines AC and ED intersect.

1. **State the problem:** Find the surface area of a right hexagonal prism with side length of the hexagon $s=3$ cm, height $h=9$ cm, and given edges 6 cm on the lower edges (which

1. **State the problem:** We need to find the volume of a sphere with radius $r = 4$ mm. 2. **Formula:** The volume $V$ of a sphere is given by

1. **State the problem:** We need to find the volume of a sphere with a diameter of 72 cm. 2. **Formula for the volume of a sphere:**

1. **Stating the problem:** (a) Choose the correct formula for the volume of a sphere with radius $r$.

1. **State the problem:** We need to find the volume of a sphere with radius $r = 2.7$ cm, rounded to the nearest cubic centimeter. 2. **Formula for the volume of a sphere:**

1. **State the problem:** We need to find the radius $r$ of a solid sphere given its volume $V = 70.34$ cubic inches. 2. **Formula for the volume of a sphere:**

1. The problem states: A sphere has a volume of $972\pi$ cm$^3$. We need to find its radius in centimeters. 2. The formula for the volume of a sphere is:

1. **State the problem:** Determine if the volume of a sphere with radius 3 inches is 50 cubic inches using $\pi = 3.14$. 2. **Formula for volume of a sphere:**

1. **Problem Statement:** Prove that triangle HEA is similar to triangle HTA given quadrilateral MATH with conditions: HM \cong AT, HT \cong AM, HE \perp MEA, and HA \perp AT. 2. *

1. **Problem:** Find the volume of the game piece prism with height 12 mm and base dimensions 7 mm by 10 mm by 15 mm. 2. **Formula:** Volume of a rectangular prism is given by $$V

Hi there! Let's learn about transformations with fun pictures! 🎉 1. Imagine you have 4 big 🍎 apples in a row. This is your original group.

1. **State the problem:** We have two similar solids (pyramids) with heights $h_1 = 4$ m and $h_2 = 2$ m. The volume of the smaller solid is $V_2 = 6$ m³. We need to find the volum

1. **State the problem:** We have two similar cylinders. The radius of the smaller cylinder is $r_1 = 5$ cm, and the radius of the larger cylinder is $r_2 = 6$ cm with volume $V_2

1. **State the problem:** Find the area of a triangle with base $14$ and height $5$. 2. **Formula:** The area $A$ of a triangle is given by the formula:

1. **State the problem:** We need to find the volume of Container B, which is a cylinder with diameter 14 feet and height 13 feet. 2. **Formula for the volume of a cylinder:**

1. **State the problem:** We have two cylindrical containers, A and B. Container A: diameter = 12 ft, height = 19 ft, initially full of water.

1. **Problem statement:** Calculate the surface area of a pyramid with given base and slant heights. 2. **Formula:** The surface area $A$ of a pyramid is given by

1. **State the problem:** We are given the area of an equilateral triangle as $\frac{70}{3}$ and need to find the length of its side. 2. **Formula for the area of an equilateral tr

1. **State the problem:** We are given the area of a circle as $\frac{9}{16}$ square inches and need to find the radius of the circle, rounded to the nearest thousandth inch. 2. **

1. **State the problem:** We need to find the diameter of a piston given its area is 57.02 square inches. 2. **Formula used:** The area $A$ of a circle is given by the formula $$A