A fish tank length, breadth and height is \( 40 \mathrm{~cm}, 60 \mathrm{~cm} \) and 50 cm respectively. It contains 50 liter of water, How much water is needed to fill it completely.

24) ABC is a triangle in which \( \mathrm{m}(\angle \mathrm{A})=60^{\circ}, \mathrm{b}: \mathrm{c}=5: 8 \) and the area of the circumcircle of the triangle ABC is \( 147 \pi \mathrm{~cm}^{2} \), then the perimeter of \( \triangle \mathrm{ABC}=\ldots \ldots \ldots \cdots \cdot \mathrm{cm} \). \( \begin{array}{llll}\text { (a) } 21 & \text { (b) } 34 & \text { (c) } 54 & \text { (d) } 60\end{array} \)

Un cilindro y un cono tienen la misma base y altura. Si el radio de la base es de 4 cm y la altura es de 9 cm, calcula el volumen del cilindro y el volumen del cono.

Denise is constructing a square in which two of its vertices are points \( M \) and \( N \). She has already used her straightedge and compass to construct the lines and arcs shown. What should Denise do for her next step? Place the point of the compass on point \( M \) and draw any arc above it. Use a straightedge to draw Place the point of the compass on point \( N \) and draw an arc that intersects width for the opening of the compass. Use a straightedge to draw a horizontal line that contains point \( O \).

Find the condition at which the line \( l x+m y+n=0 \) touches the circle \( x^{2}+y^{2}+28 x+2 f y+c=0 \) For what value of \( n \), a. the line \( 3 x+4 y+n=0 \) touches the circle \( x^{2}+y^{2}-4 x-6 y-12-02 \)

Dado un cilindro con un radio de 4 cm, ¿cuál debe ser la altura para que el volumen sea \( 64\pi \) cm³?