Area and volume: advanced

A cone and sphere have equal volumes and radii of equal length. If the height of the cone is

36

centimeters, then what is the length of the radius of each shape in centimeters?

How do I enter a student-produced response on the SAT?

For student-produced response questions, solve each problem and enter your answer as described below.

If you find more than one correct answer, enter only one answer.
You can enter up to 5 characters for a positive answer and up to 6 characters (including the negative sign) for a negative answer.
If your answer is a fraction that doesn’t fit in the provided space, enter the decimal equivalent.
If your answer is a decimal that doesn’t fit in the provided space, enter it by truncating or rounding at the fourth digit.
If your answer is a mixed number (such as $3 \frac{1}{2}$ ‍), enter it as an improper fraction ( $\frac{7}{2}$ ‍) or its decimal equivalent ( $3.5$ ‍).
Don’t enter symbols such as a percent sign, comma, or dollar sign.

Examples:

Answer	Acceptable ways to enter answer	Unacceptable: will NOT receive credit
$3.5$ ‍	$3.5$ ‍ , $3.50$ ‍ , $\frac{7}{2}$ ‍	$\frac{31}{2}$ ‍ , $3$ ‍ $\frac{1}{2}$ ‍
$\frac{2}{3}$ ‍	$\frac{2}{3}$ ‍ , $.6666$ ‍ , $.6667$ ‍ , $0.666$ ‍ , $0.667$ ‍	$0.66$ ‍ , $.66$ ‍ , $0.67$ ‍ , $.67$ ‍
$- \frac{1}{3}$ ‍	$- \frac{1}{3}$ ‍ , $- .3333$ ‍ , $- 0.333$ ‍	$- .33$ ‍ , $- 0.33$ ‍

Digital SAT Math